Generating an augmented reality image using a blending factor

ABSTRACT

A method for generating an augmented reality image from first and second images, wherein at least a portion of at least one of the first and the second image is captured from a real scene, identifies a confidence region in which a confident determination as to which of the first and second image to render in that region of the augmented reality image can be made, and identifies an uncertainty region in which it is uncertain as to which of the first and second image to render in that region of the augmented reality image. At least one blending factor value in the uncertainty region is determined based upon a similarity between a first colour value in the uncertainty region and a second colour value in the confidence region, and an augmented reality image is generated by combining, in the uncertainty region, the first and second images using the at least one blending factor value.

CROSS-REFERENCE TO RELATED APPLICATIONS AND CLAIM OF PRIORITY

This application is a continuation under 35 U.S.C. 120 of copendingapplication Ser. No. 15/623,690 filed Jun. 15, 2017, which claimsforeign priority under 35 U.S.C. 119 from United Kingdom Application No.1610657.7 filed Jun. 17, 2016.

BACKGROUND

In augmented reality (AR) systems, a pair of images may be combined soas to create an augmented reality image in which the content from oneimage appears to be included in the other image. In some arrangements,an image of a virtual object and an image of a real scene are combinedso as to generate an augmented reality image in which it appears to theviewer that the virtual object has been included in the real scene. Theaugmented reality image may be generated by rendering the virtual objectwithin a portion of the captured real scene. When rendering the virtualobject in the scene, the relative depth of the virtual object withrespect to the depth of the scene is considered to ensure that portionsof the virtual object and/or the scene are correctly occluded withrespect to one another. By occluding the images in this way, a realisticportrayal of the virtual object within the scene can be achieved.

Techniques for generating an augmented reality image of a scenetypically require the generation of an accurate model of the real sceneby accurately determining depth values for the objects within the realscene from a specified viewpoint. By generating an accurate model, it ispossible to compare depth values and determine portions of the twoimages to be occluded. Determining the correct occlusion in an augmentedreality image may be performed by comparing corresponding depth valuesfor the image of the virtual object and the image of the real scene andrendering, for each pixel of the scene, a pixel using a colour selectedfrom the colour at that pixel in the image of the virtual object or thereal scene based upon which image has the smaller depth value withrespect to the specified viewpoint, i.e. is closer to the specifiedviewpoint.

To avoid potential errors with depth measurements, a scene can bescanned from a number of positions to generate an accurate map of thescene. For example, camera tracking may be performed whilst moving acamera around a scene and capturing a number of different scans orimages of the scene. However, such processing is time consuming andprocessor intensive and is not suited to real-time applications, wherethe position of objects in the scene may vary or where it may benecessary to update the model of the real scene regularly. For example,in video applications where a constant frame rate is required there maybe insufficient time between frames to update a scene model.

SUMMARY

This Summary is provided to introduce a selection of concepts in asimplified form that are further described below in the DetailedDescription. This Summary is not intended to identify key features oressential features of the claimed subject matter, nor is it intended tobe used to limit the scope of the claimed subject matter.

One approach for capturing depth information regarding a scene is tomake use of a capture device that is configured to capture informationrelating to both colour and depth, such as an RGBD camera. An RGBDcamera is configured to capture Red, Green, and Blue (RGB) colourinformation as well as depth information, D.

The inventors have recognised that depth information obtained from asingle point, for example using such a capture device, may not becomplete or the depth information may be imprecise for portions of thecaptured scene. For example, there may be portions of an image capturedby an RGBD camera where a corresponding depth measurement could not havebeen obtained. This may occur where a surface of an object in the sceneis absorptive of the signals used for depth measurement or is positionedat an angle relative to a capture device such that a depth signal is notdirected back to a sensor of the capture device with sufficient signalstrength for a precise depth measurement to be captured. Similarly, itmay be that the depth information is detected but is inaccurate, forexample due to signal reflections or interference, which can result innoise in the captured depth measurement.

For time-critical applications, the inventors have recognised that it issometimes useful to make use of depth data captured at a single pointrather than generate a complex model of a scene when generating anaugmented reality image. However, the result of errors in the depthinformation or an absence of depth information for a particular portionof the scene is that, when generating an augmented reality image,erroneous depth comparison results may occur. These erroneous depthcomparison results may result in portions of one image being incorrectlyrendered or occluded leading to visual artefacts in a resultant renderedaugmented reality image.

The present application seeks to address these above problems and toprovide an improved approach to generating an augmented reality image.

There is provided a method for generating an augmented reality imagefrom first and second images, wherein at least a portion of at least oneof the first and the second image is captured from a real scene, themethod comprising: identifying a confidence region in which a confidentdetermination as to which of the first and second image to render inthat region of the augmented reality image can be made; identifying anuncertainty region in which it is uncertain as to which of the first andsecond image to render in that region of the augmented reality image;determining at least one blending factor value in the uncertainty regionbased upon a similarity between a first colour value in the uncertaintyregion and a second colour value in the confidence region; andgenerating an augmented reality image by combining, in the uncertaintyregion, the first and second images using the at least one blendingfactor value.

There is provided an augmented reality processing system for generatingfor generating an augmented reality image from first and second images,wherein at least a portion of at least one of the first and the secondimage is captured from a real scene, the augmented reality processingsystem comprising: a confidence identification module arranged toidentify a confidence region in which a confident determination as towhich of the first and second image to render in that region of theaugmented reality image can be made; an uncertainty identificationmodule arranged to identify an uncertainty region in which it isuncertain as to which of the first and second image to render in thatregion of the augmented reality image; a blend module arranged todetermine at least one blending factor value in the uncertainty regionbased upon a similarity between a first colour value in the uncertaintyregion and a second colour value in the confidence region; and an imagegeneration module arranged to generate an augmented reality image bycombining, in the uncertainty region, the first and second images usingthe at least one blending factor value.

The first image and the second image may each have associated therewitha plurality of colour values and a corresponding plurality of depthvalues. The confident determination as to which of the first image andthe second image to render based upon a depth value of the first imageand the corresponding depth value of the second image in the confidenceregion may be made as part of the method or processing system. Theuncertainty region may be identified based upon at least one depth valueassociated with at least one of the first and the second image, the atleast one depth value being derived from a depth value captured from areal scene. The at least one depth value may be derived from anunreliable or incomplete depth value captured from the real scene.Identifying the uncertainty region may be based on the absolute depthvalue of the unreliable or incomplete depth value, where the absolutedepth value is indicative of an erroneously captured depth value.Identifying the uncertainty region may comprise comparing at least onedepth value in the region in the first image with a depth value in acorresponding region of the second image and determining that thedifference in compared depth values is below a predetermined threshold.

At least one initial blending factor value in a confidence region may begenerated based upon the confident determination and generating theaugmented reality image may further comprise combining a correspondingcolour value of the first image and a corresponding colour value of thesecond image in the confidence region using the at least one initialblending factor value. The at least one blending factor value and the atleast one initial blending factor value may form part of an alpha mattefor combining colour values of the first image and the second image togenerate the augmented reality image.

Making the confident determination may be based upon at least one depthvalue associated with the first image and at least one correspondingdepth value associated with the second image. Making the confidentdetermination may be based upon a comparison of at least one depth valueassociated with a region of the first image with at least one depthvalue associated with a corresponding region of the second image andwherein the result of the comparison exceeds a predetermined threshold.

Identifying a confidence region further may comprise categorisingportions of the confidence region as first confidence regions or secondconfidence regions, wherein: first confidence regions are confidenceregions in which a colour value of the first image is to be rendered inthe corresponding region of the augmented reality image; and secondconfidence regions are confidence regions in which a colour value of thesecond image is to be rendered in the corresponding region of theaugmented reality image. Re-categorising an uncertainty region as eithera first confidence region or a second confidence region may be performedprior to determining at least one blending factor value. Re-categorisingan uncertainty region as a first confidence region may be based on theuncertainty region being surrounded by a first confidence region.Re-categorising an uncertainty region as a first confidence region maybe based upon a determination that confidence regions within apredetermined distance of the uncertainty region are first confidenceregions. Re-categorising an uncertainty region as a second confidenceregion may be based on the uncertainty region being surrounded by asecond confidence region. Re-categorising an uncertainty region as asecond confidence region based upon a determination that confidenceregions within a predetermined distance of the uncertainty region aresecond confidence regions.

Colour and depth values of at least one of the first and second imagesfrom the real scene may be captured using a capture device. Determiningthe at least one blending factor value may be further based upon thedistance between the position of the first colour value and the positionof the at least one second colour value. The first colour value and thecolour value may be colour values associated with a single image of thefirst image and the second image. The first colour value and the secondcolour values may be colour values captured from a real scene.

The uncertainty region may comprise a plurality of sample points anddetermining the at least one blending factor value may further compriseprocessing, for each of a plurality of sample points in the uncertaintyregion, that sample point based upon colour values at a plurality ofsample points located in a confidence region within a predetermineddistance of that sample point. When processing a sample point in theuncertainty region, a zero weight may be assigned to other samplingpoints within the predetermined distance of the sampling point that arein an uncertainty region.

Determining the at least one blending factor value for the uncertaintyregion may comprise applying a cross bilateral filter to each of aplurality of sample points in the uncertainty region based upon: thedistance between the position of the first colour value and the positionof the at least one second colour value; and the similarity in colourvalue between the first colour value and the at least one second colourvalue. The plurality of sample points used in the cross bilateral filtermay be identified using a filter kernel and sample points within thefilter kernel may be used to determine the at least one blending factorvalue for the uncertainty region. Comparing the similarity in colourvalues may comprise comparing the difference in colour for each of ared, a green, and a blue colour component at a sample point with thecorresponding colour component at each sample point within the filterkernel that is in the confidence region. The distance between theposition of the first colour value and the position of the at least onesecond colour value may be determined based upon the number of samplepoints between the first colour value and the at least one second colourvalue.

Determining at least one blending factor value in the uncertainty regionmay be based upon a similarity between a colour value in the uncertaintyregion and at least one corresponding colour value of each of the firstimage and the second image. Determining at least one blending factorvalue may be based upon generating at least two error metrics for theuncertainty region, and minimising the error metrics to determine the atleast one blending factor value in the uncertainty region. A first errormetric may be a gradient metric indicative of gradient changes inblending factor values and a second error metric may be a colour metricindicative of colour similarities between colour values in theuncertainty region and colour values in the confidence region. Aplurality of initial blending factor values may be determined and thegradient metric may be determined based upon variations in the pluralityof initial blending factor values across an alpha matte.

The colour metric may estimate the probability that a colour value inthe uncertainty region forms part of an image of the real scene in frontof a virtual object or forms part of the image of the real scene behinda virtual object based on neighbouring colour values. Colour values usedin determining the colour metric may be selected by performing adilation operation on the uncertainty region. The at least two errormetrics may be minimised using an iterative method. The colour metricmay be formed from fitted Mixture of Gaussian models for each of thepart of the real scene in front of a virtual object and the part of thereal scene behind a virtual object. The error metrics may be minimisedusing the Levenberg-Marquardt algorithm to determine the at least oneblending factor in the uncertainty region.

An erosion operation may be performed on the confidence region, whereinthe erosion operation is configured to re-categorise at least oneportion of the confidence region as forming a part of an uncertaintyregion.

The first image may be a captured image of a real scene and the secondimage may be an image of a virtual object.

An augmented reality video sequence may be generated from a first videosequence and a further image, the method comprising performing, for aplurality of frames of the video sequence, the above-discussed methods,wherein the first image corresponds to the frame of the first videosequence and the second image corresponds to the further image.

The augmented reality processing system may be embodied in hardware onan integrated circuit. There may be provided a method of manufacturing,at an integrated circuit manufacturing system, an augmented realityprocessing system. There may be provided an integrated circuitdefinition dataset that, when processed in an integrated circuitmanufacturing system, configures the system to manufacture a augmentedreality processing system. There may be provided a non-transitorycomputer readable storage medium having stored thereon a computerreadable description of an integrated circuit that, when processed,causes a layout processing system to generate a circuit layoutdescription used in an integrated circuit manufacturing system tomanufacture a augmented reality processing system.

There may be provided an integrated circuit manufacturing systemcomprising: a non-transitory computer readable storage medium havingstored thereon a computer readable integrated circuit description thatdescribes the augmented reality processing system; a layout processingsystem configured to process the integrated circuit description so as togenerate a circuit layout description of an integrated circuit embodyingthe augmented reality processing system; and an integrated circuitgeneration system configured to manufacture the augmented realityprocessing system according to the circuit layout description.

There may be provided computer program code for performing a method asclaimed in any preceding claim. There may be provided non-transitorycomputer readable storage medium having stored thereon computer readableinstructions that, when executed at a computer system, cause thecomputer system to perform the method as claimed in any preceding claim.

The above features may be combined as appropriate, as would be apparentto a skilled person, and may be combined with any of the aspects of theexamples described herein.

BRIEF DESCRIPTION OF THE DRAWINGS

Examples will now be described in detail with reference to theaccompanying drawings in which:

FIG. 1 illustrates an isometric view of a real scene;

FIG. 2(a) illustrates a plan view of the real scene of FIG. 1 with acapture device;

FIG. 2(b) illustrates a view of the real scene of FIG. 2(a) from theviewpoint of plane X-Y₁;

FIG. 2(c) illustrates depth measurements obtained from the capturedevice through line Y-Y₁ of FIG. 2(b);

FIG. 3(a) illustrates a plan view of second real scene;

FIG. 3(b) illustrates the real scene of FIG. 3(a) from the viewpoint ofplane X-Y₂;

FIG. 3(c) illustrates depth measurements obtained from the capturedevice through line Y-Y₂ of FIG. 3(b);

FIG. 4(a) illustrates a plan view of the real scene of FIG. 1 with anoccluded virtual object positioned therein;

FIG. 4(b) illustrates a view of the real scene of FIG. 4(a) from theviewpoint of plane X-Y₃;

FIG. 4(c) illustrates depth measurements obtained from the capturedevice through line Y-Y₃ of FIG. 4(b);

FIG. 5(a) illustrates a representation of a first image;

FIG. 5(b) illustrates a representation of a second image;

FIG. 6 illustrates a representation of a generated augmented realityimage;

FIG. 7(a) illustrates a plan view of a third real scene;

FIG. 7(b) illustrates a view of the real scene of FIG. 4(a) from theviewpoint of plane X-Y₇;

FIG. 7(c) illustrates depth measurements obtained from the capturedevice through line Y-Y₇ of FIG. 7(b);

FIG. 8 illustrates a representation of a generated augmented realityimage based upon the scene of FIG. 7;

FIG. 9 illustrates a flow chart of an example method for generating anaugmented reality image;

FIG. 10 illustrates an example categorisation map;

FIGS. 11(a) and 11(b) illustrate an example categorisation map havingbeen processed using an erosion operator;

FIG. 12 illustrates an example filter kernel;

FIG. 13 illustrates an example initial alpha matte based upon theexample categorisation map of FIGS. 11(a)-11(b);

FIG. 14 illustrates an example complete alpha matte based upon theinitial alpha matte of FIG. 13;

FIG. 15 illustrates an example initial alpha matte for use in aniterative method;

FIG. 16 illustrates neighbourhood values for determining a gradientvalue;

FIG. 17(a) illustrates a plan view of a real scene a partially occludedvirtual object positioned therein;

FIG. 17(b) illustrates a view of the real scene of FIG. 17(a) from theviewpoint of plane X-Y₁₇;

FIG. 17(c) illustrates depth measurements obtained from the capturedevice through line Y-Y₁₇ of FIG. 17(b);

FIG. 17(d) illustrates a series of categorisation values and alpha mattevalues for the arrangement of FIG. 17(c);

FIG. 18 illustrates a plot of error gradient as a function of gradientvalues;

FIG. 19 illustrate a plot of mean squared error as a function of thenumber of iterations of the iterative method;

FIG. 20 illustrates the mean squared error for the cross bilateralfilter and iterative approaches for a number of frames of a videosequence;

FIG. 21 illustrates example modules of an augmented reality processingsystem;

FIG. 22 illustrates a computer system in which the augmented realityprocessing system described herein may be implemented; and

FIG. 23 illustrates an integrated circuit manufacturing system forgenerating an integrated circuit embodying an augmented realityprocessing system.

The accompanying drawings illustrate various examples. The skilledperson will appreciate that the illustrated element boundaries (e.g.,boxes, groups of boxes, or other shapes) in the drawings represent oneexample of the boundaries. It may be that in some examples, one elementmay be designed as multiple elements or that multiple elements may bedesigned as one element. Common reference numerals are used throughoutthe figures, where appropriate, to indicate similar features.

DETAILED DESCRIPTION

The following description is presented by way of example to enable aperson skilled in the art to make and use the invention. The presentinvention is not limited to the embodiments described herein and variousmodifications to the disclosed embodiments will be apparent to thoseskilled in the art.

Embodiments will now be described by way of example only.

FIG. 1 illustrates an isometric view of a real scene 100 that is to bethe subject of processing by an augmented reality processing system2100. The scene 100 is a real three-dimensional space in which realobjects 102, 103 may be positioned. The position and orientation of theobjects 102, 103 within the scene 100 may be determined in a number ofdifferent ways, such as by modelling the scene. For example, it ispossible to map the scene 100 with a laser scan to accurately determinethe position of the objects with the scene 100. Alternatively, one ormore images of the scene 100 may be captured using a capture device (notshown) to obtain depth measurements.

In FIG. 1, a virtual object is not rendered and only a real scene isshown. An augmented reality processing system 2100 may be configured toselect a viewpoint of the scene and to capture a first image 500 of thescene with respect to that viewpoint. The augmented reality processingsystem 2100 may then generate a new image, i.e. an augmented realityimage 600, which is a combination of the first image of the real sceneand a second image, which may be an image of one or more virtual objectsthat are to be visually inserted within the real scene.

The second image may be an image of one or more virtual objects takenfrom the same viewpoint as the first image. As such, the virtual objector the real objects within the scene may be correctly occluded by theother depending on their relative depths with respect to the selectedviewpoint.

FIG. 2(a) illustrates a plan view of the scene 100 of FIG. 1 in which afirst object 102 and a second object 103 is located. A capture device200 may be positioned relative to the scene 100 so as to capture a firstimage 500 of the scene 100. Specifically, the capture device 200 may beconfigured to capture depth values and colour values (such as RGB colourvalues) of the scene 100 from the viewpoint of the capture device 200.The captured depth values are determined relative to the viewpoint. Theposition of the capture device 200 may correspond to the viewpoint fromwhich a second image 550 of a virtual object is generated and in which avirtual object is rendered. The second image 550 may therefore beconsidered to be a virtual image. The depth values of the second image550 may therefore correspond to those of the first image and aredetermined with respect to a common viewpoint.

Alternatively, a “virtual” viewpoint may be generated for the firstimage by interpolating between depth measurements taken from multiplereal viewpoints. For example, the capture device 200 may obtain twodifferent depth measurements from two different viewpoints and theaugmented reality processing system may interpolate between the twodepth measurements to obtain depth measurements for the first image thatcorrespond with the depth measurements for the second image. However,for the purposes of describing the following examples, it will beassumed that the viewpoint from which the augmented reality image 600 isrendered is the same as the position of the capture device 200 fromwhich the colour values and depth values of the scene are captured.

When capturing the depth values of the scene, the capture device 200determines the distance of the scene from the capture device 200 at aplurality of different sampling points across the scene to create anarray of depth values. For example, the capture device 200 may comprisea first sensor 210 and a second sensor 220. The first sensor 210 isconfigured to capture a first image 500 of the scene 100 comprising aplurality of first colour values. The captured colour values in thefirst image 500 may be in the form of RGB colour values for a pluralityof pixels which combine to represent the scene from the viewpoint of thecapture device 200, for example in an array of pixels each having a red,green, and blue colour component value.

The second sensor 220 is configured to capture depth values from thescene 100. For example, the second sensor 220 may be an Infra-Red (IR)sensor configured to detect the presence of IR signals. The capturedevice 200 may also include an IR transmitter (not shown) configured totransmit IR signals which are then captured by the second sensor 220. Bymeasuring the received IR signals, it is possible to make adetermination regarding depth information at each of a plurality ofsampling points across the scene 100.

The sampling points at which a depth value is captured may correspondwith the points at which colour information is captured. Put anotherway, portions of the scene at which depth measurements are captured mayhave a one-to-one correspondence with pixels of an image of the scenecaptured by the capture device 200. The depth information may becaptured such that it directly corresponds in position to the colourinformation.

For example, depth information may be obtained for an area of the scenewith the same resolution as colour information by the capture device. Insome arrangements, depth information may be obtained at a lowerresolution than the colour values and thus some degree of interpolationmay be required to ensure a correspondence in values. Similarly, thedepth information may be at a higher resolution than the colourinformation. It will be assumed for the purposes of describing thefollowing examples that the resolution of the captured depth values andthe captured colour values are the same.

The IR signals transmitted by the capture device 200 may be transmittedin a grid and time-of-flight information may be used to determine thedepth value at each sampling point captured by second sensor 220. Forexample, the second sensor 220 may be configured to detect the phase ofthe IR signal. In this way, it is the surface of the scene which isclosest to the capture device at a particular sampling point which isused to determine the depth value at that sampling point. For example,the face of object 102 that is closest to the capture 200 defines thedepth value for sampling points that fall upon that face.

As can be seen from the plan view of scene 100 in FIG. 2(a), the firstobject 102 is located closer to the capture device 200 than the secondobject 103 in the z dimension. Accordingly, the depth measurementsdetected by second sensor 220 at sampling points that align with thefirst object 102 will be less than corresponding depth measurementstaken at sampling points aligned with the second object 103, i.e. thefirst object is closer than the second object. Similarly, for portionsof the scene 100 captured at sampling points where neither the firstobject 102 nor the second object 103 are present, the measured depthwill be determined by the distance of the background of the scene 100from the capture device 200. In the example of FIG. 2(a), the backgroundis determined by the rear plane of the scene 100 furthest from thecapture device 200.

FIG. 2(b) illustrates the relative positions of the first 102 and second103 objects as seen from a viewpoint of the scene in an x-y planedefined by X-Y₁ at capture device 200. An example set of depth valuesare demonstrated in FIG. 2(c) along dimension y. The captured depthvalues shown in FIG. 2(c) reflect the depth values captured along lineY-Y₁ as shown in FIG. 2(b). FIG. 2(c) illustrates a number of samplingpoints at which depth values were captured. As shown in FIG. 2(c), threedifferent values are identified by the capture device across thesesampling points. A number of lines of depth values across plane X-Y₁ maybe obtained to generate an array of depth values of the scene.

It can be seen that the largest of the three depth values captured bythe capture device 200 along line Y-Y₁ are captured where neither thefirst object 102 nor the second object 103 is located, for example inthe area between the two objects at depth d_(max). Accordingly, thecaptured depth measurement is based upon the measured depth of thebackground of the scene 100. Another measured depth is d_(obj1) whichcorresponds with the depth values determined at sampling points whichfall on the surface of first object 102, i.e. the portion of line Y-Y₁that intersects first object 102. Similarly, depth d_(obj2) correspondswith sampling points of the depth value that fall on second object 103.As illustrated in FIG. 2(c), the captured depth values are discretevalues that represent the depth value determined at a sampling point.However, the depth values may correspond with regions of the imagerather than individual points.

It will be noted that, in the example of FIG. 2(a) to FIG. 2(c),occlusion of the two real objects 102, 103 does not occur with respectto one another. This is because the two objects do not overlap oneanother along dimension y. The example of FIG. 2(a) to (c) thereforeillustrates an arrangement in which real depth values are captured.

Another example of a different scene 110 is provided in relation to FIG.3 in which real objects are occluded with respect to one another.

In FIGS. 3(a) to 3(c), third 112 and fourth 113 objects are locatedwithin a different three-dimensional scene 110. Objects 112, 113 arelocated within scene 110 such that they overlap one another in dimensiony, when considered from the viewpoint of the capture device 200 at planeX-Y₂. Since third object 112 is closer to the capture device 200 withrespect to dimension z than fourth object 113, a portion of fourthobject 113 indicated by area 223 is occluded from view in an image ofthe scene 110 taken from the viewpoint of capture device 200.

For example, third object 112 and fourth object 113 overlap in the ydimension at a portion of the respective objects across an areaindicated by reference number 150. Accordingly, depth values obtained bythe capture device 200 at sampling points in region 150 are determinedbased upon the distance of third object 112 from the capture devicerather than the distance of fourth object 113, since the third object112 is closer to the viewpoint at the capture device 200 than the fourthobject 113, with respect to dimension z. Similarly, the colour valuescaptured by capture device 200 over region 150 will be the capturedcolour of the third object 112 rather than the fourth object 113.

In this way, a portion 223 of fourth object 113 that is located withinregion 150 is occluded from the viewpoint at the capture device 200 bythe portion of third object 112 that also falls within region 150. FIGS.3(b) and 3(c) illustrate depth measurements for scene 110. It will beappreciated that real objects may be occluded in traditional imagecapture systems by other objects.

In more detail, FIG. 3(b) illustrates the viewpoint of the capturedevice 200 with respect to real objects 112 and 113 through plane X-Y₂.The resultant depth value measurements across line Y-Y₂ are shown inFIG. 3(c). As can be seen from FIG. 3(c), the depth values for portionsof line Y-Y₂ that are intersected by either the third object 112 or boththe third 112 and fourth object 113 take the depth values of the thirdobject 112 (d_(obj1)), whilst portions of line Y-Y₂ that are intersectedonly by the fourth object 113 take the depth values of the fourth object113 (d_(obj2)). As with the arrangement of FIGS. 2(a) to 2(c), theportions of line Y-Y₂ not intersected by either the third object or thefourth object have a depth value corresponding to the background of thescene (d_(max)).

Accordingly, in traditional image capture systems, only colourinformation relating to real objects in a scene that are not occluded byother real objects is captured by the image sensor. In augmented realityprocessing systems, it is desirable to re-create this behaviour forarrangements in which virtual objects are to be rendered in a mannerthat allows the virtual objects to appear to behave in the same manneras a real object to provide added realism to the augmented realityimage.

Accordingly, it is desirable for virtual objects to be accuratelyrendered to generate an augmented reality image of a scene. To generatean augmented reality image, it is determined whether or not portions ofa virtual object in an image should be occluded based upon where in animage of a real scene a virtual object is to be rendered. In this way,the virtual object is effectively processed in a similar manner asdescribed above by determining which of the real elements and thevirtual elements (e.g. the real and virtual objects) have the leastdepth values. However, as discussed above, errors in determining thedepth values may affect the perceived realism of the augmented realityimage.

Returning to the scene 100 illustrated in FIGS. 2(a) to 2(c), a firstobject 102 and a second object 103 are positioned within the scene 100.Scene 100 is to be used to generate an augmented reality image 600 inwhich a portion of a second image 550 of a virtual object 104 is to becombined with an image of the scene 100. In the following example, animage 600 of the scene 100 from a particular viewpoint is to be renderedto show the virtual object 104 within the scene 100.

To generate the augmented reality image 600, the position and depthvalues of a virtual object 104 with respect to the scene are determinedand the virtual object 104 is rendered with respect to a selectedviewpoint of the scene 100.

A plurality of depth values are determined for the virtual object 104 ata plurality of sampling points, where each depth value represents adepth of a portion of the virtual object 104 with respect to theviewpoint. A correspondence between the position of a sampling point ofthe depth of the virtual object 104 and the position of a sampling pointof the depth of the real scene 100 may be formed to allow a comparisonof real and virtual depth values. If there is no direct correspondence,it may be necessary to interpolate between depth sampling points inorder to compare the virtual and real depths.

For the sake of simplicity in describing the following examples, it isassumed that there is a direct correspondence between the sampling pointof each real colour value, each real depth value, each virtual colourvalue, and each virtual depth value. For example, each virtual depthvalue of the virtual object 104 is directly associated with a pixel ofan image of the real object 104 from the defined viewpoint. In turn,each captured depth value of the real scene 100 from the viewpoint isalso associated with a depth value for the real scene 100. Similarly,colour values (e.g. RGB colour values) of an image of the virtual objectmay be associated in position with colour values of an image of thevirtual object. Accordingly, there may be a direct correspondence inposition between pixels of an image of the scene and pixels of therendered virtual object.

A depth map comprising a plurality of depth values for differentportions of the image 550 of the virtual object 104 is determined. Bycomparing the captured depth values in the depth map for the virtualobject 104 with depth values at corresponding positions of the realscene 100 it is possible to determine which captured colour value is tobe rendered. For example, where the depth value of the image of thevirtual object is less (the virtual object is closer) than the depthvalue of the image of the real scene, the colour value at that positionof the virtual object is rendered. Similarly, where the depth value ofthe image of the real scene is less (the real scene is closer), thecolour value at that position of the image of the real scene isrendered.

FIGS. 4(a) to (c) illustrate an arrangement in which the depth values ofan image of the virtual object 104 are such that the virtual object 104is effectively located between two real objects 102, 103 in the realscene 400, as illustrated in the example plan view of the scene 400. Assuch, based on the comparison of depth values, the virtual object 104will be partially occluded by real object 102 and, in turn, real object103 will be partially occluded by virtual object 104.

In FIG. 4(c), real depth values and virtual depth values may bedetermined with respect to line X-Y₃. A depth map may be in the form ofan array of depth values for the scene can be generated based upon thereal and virtual depth values. The depth map is generated by comparingat each sample point the captured depth value with the correspondingvirtual depth value. With respect to the position of the capture device200, the depth values of the virtual object 104 in dimension z are suchthat the virtual object 104 would occlude a portion of object 103indicated by region 423. Whilst the virtual object 104 and second object103 overlap, the virtual object 104 has a depth value indicating thatthe virtual object 104 has a lower depth value (i.e. it is closer to thecapture device) than the second object 103. In some examples, it is notnecessary to generate a complete depth map from the real and virtualdepth values. Instead, the values could simply be compared and thedetermination of the comparison used for further processing on a sampleby sample basis without initially generating a complete depth map. Inthis way, the generation of a complete depth map may be replaced withthe determination at each sample point with a determination as to whichof the first and second image is closer to the viewpoint without storingthe results as a separate array.

Accordingly, the portion of object 103, indicated by area 423, whichoverlaps along dimension y the virtual object 104 is occluded from viewin the augmented reality image 600 and is thus not rendered in theaugmented reality image 600. As such, since no other object or elementin scene 400 is located between the capture device 200 and the virtualobject 104, the corresponding portion of virtual object 104 that fallswithin that area would be rendered in the resultant augmented realityscene 600 instead of the real object 103. Put another way, the colourvalue at a corresponding position of the second image 550 of the virtualobject would be used in the augmented reality image 600.

Similarly, real object 102 within scene 400 overlaps in the y dimensionwith virtual object 104. Since real object 102 is closer (i.e. has asmaller depth value) to the capture device 200 in direction z than thedetermined distance values of the rendered virtual object, a portion ofobject 104 is occluded from view by the capture device 200.Specifically, area 424 indicated in FIG. 4(a) is occluded from view bythe capture device 200.

As such, the finally rendered augmented reality image 600 would beformed of portions of a first image 500 of the real scene 400 andportions of the second image 550 of the virtual object 104. For example,for a row of pixels of the augmented reality image 600 that falls alongline Y-Y₃, pixels that have a correspondence with depth values d_(obj2)are rendered using the corresponding colour values of the second image550 of the virtual object 104 since the virtual object 104 has a lowerdepth value (i.e. is closer) than the corresponding depth value of theimage 500 of the real scene 400. Similarly, for pixels that correspondwith depth values d_(obj1), d_(obj3), and d_(max), the colour valuesassociated with pixels of the first image 500 of the real scene 400 areused since the corresponding depth values of the real scene 400 are less(i.e. they are closer) than the depth values of the second image 550 ofthe virtual object 104. Alternatively, it may that the virtual object104 is not present at the location of some pixels (e.g. the pixelslocated at d_(max) locations) and thus the corresponding colour valuesof the real scene are used.

A representation of the first 500 and second 550 images is illustratedin FIGS. 5(a) and 5(b). An augmented reality image 600 based upon thescene of FIG. 4 and the images of FIGS. 5(a) and 5(b) is illustrated inFIG. 6. As can be seen portions of the augmented reality image 600 arerendered based upon the colour values of the first image 500 of the realscene, including a first portion 602 corresponding to a portion of thefirst image 500 corresponding to the real object 102, a second portion603 corresponding to real object 103, and a background portion 606corresponding to the background of scene 100. Similarly, portion 604 ofimage 600 is rendered using the colour values of the virtual object 104from the second image 550.

As can be seen from FIG. 6, the virtual object 104 in the second image550 is partially occluded by the surface of object 102, such that theoverlapping area 424 is rendered using the colour values of object 102from the first image 500 rather than the colour values for thecorresponding region of virtual object 104 from the second image 550.Similarly, virtual object 104 overlaps the object 103 at area 423. Sincethe virtual object 104 is closer to the capture device 200, the colourvalues of the virtual object 104 from the second image 550 are used whenrendering the resultant augmented reality image 600 instead of thecolour values of object 103 from the first image 500.

In this way, by comparing the depth values of the virtual object from aviewpoint with corresponding depth values of an image of the real scene,the occlusion of the virtual object within an augmented reality image600 is performed and an accurate augmented reality image 600 may begenerated.

In practice, erroneous determinations as to which image should beselected for rendering may occur. These errors may occur because thedetermination of the depth values for a first image 500 of the realscene may not be accurately obtained by the capture device 200.

FIGS. 7(a) to (c) and 8 illustrate an example implementation whereerrors in the captured depth values can lead to spurious artefacts inthe resultant rendered augmented reality image. Scene 700 of FIGS. 7(a)to (c) illustrates an arrangement in which the determined depth valuesfor a virtual object 104 a and a real object 102 within scene 600 aresimilar, with respect to the capture device 200. As such, anysignificant deviation in the depth values determined by the capturedevice 200 may result in the comparison of the depth values producing adifferent, erroneous outcome.

Scene 700 also illustrates a real object 103 and virtual object 104 bwhich overlap in dimension y. A first image may be captured of the realscene 700 to include the real objects 102 and 103 and a second image maybe rendered that includes the virtual objects 104 a and 104 b. FIGS.7(b) and 7(c) correspond with FIGS. 4(b) and 4(c) but for scene 700.Depth d_(obj1) corresponds with the depth of object 102, depth d_(obj2)corresponds with the depth of object 104 a, depth d_(obj3) correspondswith the depth of object 103, depth d_(obj4) corresponds with the depthof object 104 b, and depth d_(max) corresponds with the depth of thebackground of scene 400.

If the amount of variation in the captured depth value of the real scene700 exceeds the difference in depth values, at a particular position,between real and virtual objects, then erroneous rendering the resultantaugmented reality image 800 may occur. For example, where the virtualobject 104 a and the real object 102 have similar depth values, theaugmented reality processing system may erroneously determine that thecolour values of the real object 102 should, at particular pixels, berendered instead of the colour values of the virtual object 104 a. Thisis illustrated with respect to area 724 in which objects 102 and 104 aoverlap in dimension y and may result in erroneous rendering. The resultof such an erroneous determination is that the overlapping areas mayappear disjointed or noisy, with visual artefacts of the real scenebeing incorrectly rendered within the rendered virtual object in theresultant rendered augmented reality image 700.

For example, FIG. 7(c) illustrates spurious depth values captured fromreal object 102 at depth d_(obj1) that correspond with region 724.Similarly, spurious depth values can be seen that correspond with region725. These spurious values may also arise due to variations in captureddepth values of object 103 resulting in object 104 b being incorrectlyrendered in place of the object 103. In addition, FIG. 7(c) illustratesthat some depth values are missing. This is because the surface of realobject 103 is not perpendicular with the viewpoint and thus reflectionsmay result in depth values not being captured.

FIG. 8 illustrates the resultant rendered augmented reality image 800and corresponds to image 600 except that image 800 is generated basedupon the scene illustrated in FIG. 7 rather than the scene illustratedin relation to FIG. 4. FIG. 8 illustrates an arrangement in whichunreliable or incomplete depth values captured from the scene of FIG. 7may result in artefacts in the final augmented reality image 800. Assuch, regions 802, 803, 804 and 806 in FIG. 8 respectively correspondwith regions 602, 603, 604, and 606 in FIG. 6. In addition, image 800comprises a region 807 in which virtual object 104 b is rendered.Reference numeral 804 indicates the region of the augmented realityimage 800 in which the virtual object 104 a is rendered.

However, as shown in rendered image 800, portions of the image have beenincorrectly rendered, such as regions 823 and 824, or have not beenrendered at all, such as the shaded region 825. For example, region 824has incorrectly rendered using the colour values of virtual object 104 arather than the correct colour values of real object 102 due to errorsin the depth measurements of the first image of the real scene 700.Similarly, region 823 of the rendered scene has been incorrectlyrendered using the colour values of object 104 b rather than thecorresponding colour values of the rendered virtual object 103. As such,regions 823 and 824 appear as spurious artefacts in the resultant image.

Similarly, due to the orientation or the specular properties of the realobject 103 in the real scene 700, it may not be possible for depthvalues to be obtained for portions of the scene and thus an error occurssuch that neither colour is rendered, such as region 825. As such, thedepth values captured of the real scene may be incomplete. In theexample of FIG. 8, the region of object 103 indicated by referencenumeral 825 has an orientation and surface properties with respect tothe capture device 200 such that the resultant depth measurements forthat region are unobtainable.

Since depth values captured from a real scene may include errors, anysubsequent comparison of depth values in that region may result inerroneous rendering. This may occur across the entire surface of theregion 825 of rendered object 103 or instead may be occur on apixel-by-pixel basis, such that the resultant erroneous rendering iseither large-scale or sporadic, as set out above in respect of issuescaused by the degree of noise in the depth measurements for the realscene.

To overcome these issues, there is a need for the augmented realityprocessing system to reduce the impact of an erroneous determination asto which of a plurality of images to render in a region of an image.Where real objects and virtual objects overlap in depth in a scene, anda portion of one object is occluded by the other, the boundaries betweenthe two objects can appear visually disturbing to the determination ofdepth values. There is therefore also a need to smooth the transitionfrom a real object to a virtual object (or vice versa) in a scene toavoid disturbing transitions in colour from one object to the other.There is also a need to handle partial occlusions, in which an alphamatte for blending images is to be determined.

An improved approach for generating an augmented reality image will nowbe described with reference to the following figures.

Augmented Reality Image Generation

An example method will now be described in relation to scene 400, asillustrated in FIG. 4. As shown in FIG. 4, a real scene 400 comprisesreal objects 102 and 103 and virtual object 104 is to be rendered withinthe scene in such a way as to correctly occlude the virtual and realobjects within the scene. An example method of generating an augmentedreality image is illustrated in further detail in FIG. 9.

Obtaining First and Second Images

The method 900 begins at step 910 at which first 500 and second 550images are captured. In general, either image or both images may bevirtual images or partially virtual images provided that at least aportion of one image is an image of a real scene and another portion ofeither image contains virtual information. Put another way, portions ofeither or both image may comprise virtually generated content. Themethod 900 comprises capturing depth and colour values of the scenewhich form at least part of at least one of the first and second imagesand then determining colour and depth values for the remaining virtualportions of the first and second images.

For example, an RGB colour map and a depth map may be determined for thefirst image 500 and the second image 550 based on a combination ofvirtual depth and colour information and real colour and depthinformation. For the purposes of the following example, it is assumedthat an RGBD camera has been used and that the resolution of the depthmap matches the resolution of the RGB colour map for the scene such thatthere is a direct correspondence between a pixel in the depth map and acorresponding pixel in the RGB colour map. In this way, it is possibleto perform direct assessment of each pixel in the two images.Furthermore, for the following example, the first image 500 is an imageof the real scene 400 and the second image 550 is an image of thevirtual object 104, both taken from an identical viewpoint positioned atthe capture device 200.

Having completed step 910, the method proceeds to a step ofcategorisation in which the confidence and uncertainty regions areidentified.

Identify a Confidence Region

At step 920, a confidence region is identified, wherein the confidenceregion is a region of the scene in which a confident determination as towhich of the first 500 and second 550 image to render in that region ofthe augmented reality image 600 can be made. For example, the first andsecond images may be compared at corresponding regions and, where thedifference in depth values between images exceeds a threshold, theregion may be marked as a confidence region since there can be a degreeof confidence that the result of the comparison is correct.

The identification of a confidence region may include identifying one ormore regions of the scene in which the first and second images do notcomprise captured depth values of a real scene. In such regions there iscertainty as to which image should be rendered (aside from exactly equaldepth values) as it can be assumed that there is no capture error in thedepth of virtual images. One approach to identifying such regions asconfidence regions would be to track which of the depth and colourvalues have been obtained from a real scene and to identify regions ofthe scene in which only virtual depth values are present. These regionsmay automatically be identified as confidence regions. In somearrangements, it may be that regions in which only virtual depth valuesare present are deemed uncertainty regions, as will be described later.Alternatively, all regions of the first and second images may beindividually processed to identify confidence regions.

As well as identifying confidence regions by identifying regions of thefirst and second images in which only real data is present, it is alsopossible to identify confidence regions in which at least one of thefirst and second image has a depth value captured from a real scene. Forexample, it could be determined that a region is a confidence regionbased upon a difference in the depth values of the first and secondimages being sufficiently large that any noise in the captured depthvalues would not affect the result of a comparison of the depth valuesof the first 500 and second 550 images.

Specifically, for a depth value at position x, y in the first image,D₁(x,y), and a corresponding depth value at position x, y in the secondimage, D₂(x,y), it is possible to determine whether or not thedifference in value exceeds a threshold. A confidence region may beidentified if the magnitude of the difference in depth values exceeds apredetermined threshold. In practice, this predetermined threshold maybe manually selected when configuring the system. For example, settingthe predetermined threshold to be greater than a maximum noise value mayreduce the amount of noise in the final image but would do so at thecost of reducing the confidence region (and therefore increasing thesize of the uncertainty region, as will be described later). As such,the amount of processing required by the system may be increased sincethe amount of an image that needs processing as described herein may beincreased. Accordingly, there may be a trade-off between an acceptablelevel of noise that is accounted for in the predetermined threshold andthe amount of processing that is required on the regions that are notidentified as confidence regions.

Therefore, the predetermined threshold may be configured to be greaterthan a background noise level of the depth values captured from the realscene and lower than a maximum noise value. In this way, regions inwhich an erroneous depth value may result in an erroneous determinationas to which image of the first image and second image to render in thatregion are reduced. Alternatively, if both images comprise real depthvalues of a scene, those regions in which the real depth values fall atthe same point may have a different threshold, which may be twice aslarge to allow for cumulative addition of the error in each captureddepth value.

Where the difference in depth values exceeds a predetermined threshold,i.e. the virtual object is not close in dimension y of FIG. 4 to a realobject in the real scene, the determination that the colour values ofone of the first 500 and second 550 images is to be rendered in place ofthe other may be accepted or relied upon with a degree of confidence andthus the region may be identified as a confidence region. In the presentexample, the difference in depth between the virtual object 104 andobjects in the real scene 400 may be such that any noise in the obtaineddepth value at that pixel would not influence the determination as towhich image to render. This is illustrated by the following inequality,where θ is the predetermined threshold:θ<|D ₁(x,y)−D ₂(x,y)|

However, at a particular pixel position x, y, if the difference betweenthe two depth values is less than the predetermined threshold, then itmay be determined that the pixel is a candidate for an erroneouslyrendered pixel, since the real scene and virtual object have similardepth values. This is illustrated by the following inequality:θ≥|D ₁(x,y)−D ₂(x,y)|

In the event that this inequality is met, the position x, y may beregarded as an uncertainty region, which will be described in moredetail in relation to step 930. It will be appreciated that thesituation where θ=|D₁(x, y)−D₂(x, y)| can be handled in differentmanners. For example, in this situation the position x, y can beregarded as a confidence region or an uncertainty region, depending uponthe specific implementation.

Having identified, for each region of the augmented reality image,whether that region is a confidence region it is possible to furthercategorise the regions so that each region of the augmented realityimage falls within one of more than two different categories. Inparticular, portions of an identified confidence region may besub-categorised into one of three sub-categories, namely first, second,and third confidence regions, as will be described in more detail below.

In this example, a categorisation map is generated which indicates intowhich category each region of the scene is categorised. The examplecategorisation map includes, for a corresponding pair of depth values, avalue indicating the category at that pair of depth values based upon acomparison of the corresponding depth values of the first 500 and second550 images. An example categorisation map generated based upon the sceneof FIG. 4 is illustrated in FIG. 10.

In the current example, four different categories are defined and willbe illustrated in relation to FIG. 10. Regions of the augmented realityimage may be categorised according to one of the four categoriesdescribed below. Three of the four categories are the threesub-categories for a confidence region, namely (i) an “in-front” regiondenoted “1”, (ii) a “behind” region denoted “2”, and (iii) “off object”region denoted “-”. The fourth category is the uncertainty regiondenoted “3”. In the present example, the pixel resolution of the firstimage 500 and the second 550 image is given to be the same. For thepurposes of the present example, it can be assumed that the depth valuesof the background of the image of the virtual object are given a valuesuch that they are not taken into consideration for rendering purposes.

Generally, a confidence region can be categorised as a first confidenceregion if the depth value in the confidence region of the first image(e.g. of the real scene) is less than a corresponding depth value in asecond image (e.g. of a virtual object) such that the first image iscloser than a second image. In the present example, where the firstimage is an image of a scene and the second image is an image of avirtual object, the first confidence region is a region in which thereal scene is to be rendered, for example region 602 of FIG. 6. In thepresent example, the first confidence region may be considered to be a“behind” region since the virtual object is deemed to be positionedbehind an object in the real scene and is thus located behind the realscene. In the categorisation map illustrated in FIG. 10, the behindregions are indicated by numeral 2.

A confidence region may also be sub-categorised as a second confidenceregion if the depth value in the confidence region of the first image500 is greater than a corresponding depth value in a second image 550.In the present example, where the first image 550 is an image of realscene 400 and the second image is an image of a virtual object 104, thesecond confidence region is a region in which the colour value of thevirtual object is used for rendering, for example region 604 in FIG. 6.In the present example, the second confidence region may be consideredto be an “in-front” region since the virtual object is deemed to bepositioned in front of the real scene. Put another way, it is colourvalues of the second image of the virtual object 104 that should berendered in these pixels in the augmented reality image 600. “In-front”regions are illustrated in the categorisation map of FIG. 10 by numeral1.

To make a determination as to whether a pixel of the scene should becategorised in the first confidence region or the second confidenceregion, the depth value of the first image and the depth value of thesecond image at that pixel are compared.

In one example, C(x, y) is set to 2 if D₁(x, y)<D₂(x,y), where D₁(x, y)is the depth value at pixel x, y of the first image; D₂(x, y) is thedepth value at pixel x, y of the second image; and C(x, y) is theresultant categorisation value at pixel x, y. Where D₁(x, y)≥D₂(x, y),C(x, y) is set to 1.

The above-described process can, at the same time, identify (at step930) regions that are confidence regions (in one of the threesub-categories) and regions that are uncertainty regions. Alternatively,the confidence regions may first be identified and the uncertaintyregions may be separately identified. Once the confidence regions havebeen identified and sub-categorised and the uncertainty regions havebeen identified, the entire area of the augmented reality has beenplaced into one of four categories. The uncertainty regions are regionsin which there is some doubt as to which of the first image 500 and thesecond image 550 is to be rendered. Where the comparison of the depthvalues is such that the magnitude of the difference in depth values at alocation is less than a predetermined threshold θ, the location may beregarded as part of an uncertainty region. This is because the depthvalues are considered to be so close to one another that it is possiblethat errors in the capture of the depth value from the real scene inthat region may lead to an erroneous result. These regions are thenprocessed further, as will be described below. In the categorisation mapof FIG. 10, elements of the uncertainty region are indicated by numeral3 and are also shaded.

Another approach for identifying uncertainty regions, which can be usedin place of or in addition to the above-described approach, is toconsider the absolute values of depth values captured from the realscene. In the present example, this may involve performing a test oneach of the captured depth values. For example, an RGBD camera mayproduce a particular value which is indicative of an erroneouslycaptured depth value. For example, it may be expected that a depth valueshould fall within a predetermined range and that a value outside ofthis range indicates an erroneous depth measurement. The RGBD camera mayoptionally be configured to provide a specific depth value to indicatethat an error occurred in the captured value. Accordingly, by usingdifferent methods it is possible to identify incomplete or erroneouslycaptured depth values.

It is also possible to perform an “in-fill” function in order totransform an uncertainty region into a confidence region on the basisthat the uncertainty region is wholly surrounded by a confidence regionof a particular subcategory. This process can be performed during thecategorisation process in which confidence and uncertainty regions areidentified. Specifically, where a region is wholly surrounded by“in-front category” sample points, it can be inferred that the samplepoints in that region should be completed based upon the surroundingcategorisation. Accordingly, the categorisation value of the uncertaintyregion (“3”) can be changed to match the surround categorisation. Assuch, the area of uncertainty region to be processed is reduced beforeprocessing is performed. In this way, fewer pixels in the uncertaintyregion need to be processed in the subsequent processing steps todetermine which colour should be used in the augmented reality image.The amount of processing needed to generate the augmented reality imageis therefore reduced.

The “in-fill” function may also consider the size of the area to bein-filled before performing the in-filling. Specifically, a large areato be in-filled may indicate that the area is not erroneously uncertainbut instead is actually part of another object. It may also be possibleto consider the size of the confidence region during in-filling toensure that the confidence region is sufficiently large to haveconfidence that the “in-filling” will not create errors in thecategorisation. An example of a region of the categorisation map thatcan be in-filled is illustrated with reference to FIG. 10, in which twosample points denoted “3” are categorised as forming an uncertaintyregion. The two sample points can be in-filled and changed to take thevalue “1” since the surrounding sample points have the samecategorisation value.

The categorisation map 1000 indicates, for regions of the augmentedreality image 600, which regions of the image are considered to beconfidence regions in which the determination as to which of the firstand second images to be rendered is made with a degree of confidence.Regions in which some uncertainty as to which of the first and secondimages to be rendered are indicated as uncertainty regions and arelabelled by numeral 3, which are also shaded. Numeral 2 indicatesconfidence regions in which the real scene of the first image is to berendered in place of the virtual object 104 of the second image 550.Numeral 1 indicates the confidence regions in which the virtual object104 of the second image 550 is to be rendered in place of the colourvalues of the real scene 400.

It will be appreciated that for regions of the augmented reality image600 in which there is certainty as to which of the first image or thesecond image is to be used for rendering, it is possible to determine ablending factor to determine the degree to which first 500 and second550 images are blended. The blending factor in these regions may be abinary number which indicates which of the two images to wholly renderat a pixel. A blending factor value may be regarded as an initial alphamatte value as will be explained in more detail later.

As can be seen from FIG. 10, a large proportion of the categorisationmap 1000 includes an “off object” region marked by reference sign “-”.This will be described in further detail below.

Off object regions may be identified as a sub-category of the confidenceregion in which the two images do not overlap one another. Put anotherway, there may be regions in which the first image 500 and/or the secondimage 550 are not aligned with one another. For example, where the firstimage 500 is an image of a real scene and the second image 550 is animage of a virtual object 104, it may be that the second image 550 issmaller than the first image 500 and is only as large as the size of thevirtual object 104.

Accordingly, when the first 500 and second 550 images are aligned withone another or a correspondence between colour values in the two imagesis generated, there may be regions of the first image 500 for whichthere is no corresponding region of the second image 550. Such regionsmay be deemed to be “off object” regions since, for these regions, nocomparison of depths is required (or possible). As such, it is possibleto mark these regions such that they are not processed further. In thisway, it is possible for the amount of processing required to generatethe augmented reality image 600 to be reduced.

The off object regions form part of the confidence regions since thedetermination as to which of the first image and the second image torender can be made with confidence. Put another way, since the one ofthe first and second images is not present in an off object region, itwill be the colour values of the present object in the off object regionthat will be used to render the corresponding colour values of theaugmented reality image 600.

In some implementations, the depth values and the colour values may notbe directly aligned in position. Therefore, when aligning a depth map ofthe depth values with the colour images, it may be that boundaries ofobjects in the depth map extend beyond those in the colour image. Assuch, some depth value points may be erroneously included in the“in-front” region. In order to overcome this problem a morphologicaloperator (e.g. an erosion operator) may be used to re-categoriseconfidence regions near a boundary between regions from either“in-front” or “behind” confidence sub-categories to an uncertaintyregion. This will be explained below.

FIG. 11(a) illustrates an erosion kernel 1100 in accordance with anexample. The erosion kernel 1100 in this example is a 3×3 pixel kernelin which the centre position of the kernel 1110 is to be placed upon aposition in a confidence region of the categorisation map 1000 which islocated near to an uncertainty region. The erosion operator acts tocompare all locations in the erosion kernel 1100 to determine whether ornot all locations in the erosion kernel are all in a confidence region.

For elements in a confidence region located near to an uncertaintyregion, the centre 1110 of the erosion kernel 1100 is placed at thatelement and, where there is another point within the erosion kernel 1100that is in an uncertainty region, the element in question isre-categorised as being part of an uncertainty region. In this way, theuncertainty regions are widened to ensure that issues in alignment donot result in spurious results in the rendered image. It will beappreciated that the size of the erosion kernel 1100 may be varieddepending upon the particular application of the described methods.Categorisation map 1150 illustrates the result of applying the 3×3 sizeerosion kernel 1110 to the categorisation map 1000 of FIG. 10. As can beseen, the size of the uncertainty regions (illustrated as shadedregions) has been increased.

At the end of step 930 of the method of FIG. 9, a categorisation map1100 may have been generated in which all regions of the augmentedreality image are categorised into one of two primary categories, namelyan uncertainty region or a confidence region. As previously mentioned,the confidence region may also be sub-categorised as “in-front” or“behind” categories and other portions of the categorisation map may bedetermined to be “off object”, which may also be determined to be partof a confidence region.

The uncertainty region may be further processed to determine a value fora degree to which the first 500 and second 550 images are to be combinedwithin these regions. Two possible approaches for processing theuncertainty region are set out below in relation to step 940.

Alpha Matte

In order to combine the first image 500 and the second image 550 togenerate the augmented reality image 600, blending factor values may bedetermined which combine to form an alpha matte. The blending factorvalues of the alpha matte indicate the degree to which the correspondingcolour values of each of the first image and the second image contributeto the colour at a corresponding location of the augmented reality image600. Blending factor values of the alpha matte may take the value ‘0’,‘1’, or any value in between ‘0’ and ‘1’. Where the blending factorvalue at a particular location of the alpha matte is ‘0’ or ‘1’, asingle colour from either the first or second image is selected andrendered in the augmented reality image. Where the blending factor valueis a value in between ‘0’ and ‘1’, a blend of the corresponding coloursof the first and second images is generated and used when rendering thatcorresponding position in the final augmented reality image. Byblending, for use at a particular location in the final augmentedreality image, two colours each from the first and second image, it ispossible to smooth a transition in colour between a rendered first imageand a rendered second image in the augmented reality image, therebyreducing visual artefacts in the augmented reality image.

In the present example, the blending factor values of the alpha matteare determined in different ways for the confidence region and theuncertainty region. Specifically, in the confidence region the blendingfactor values are based upon the sub-categories of the confidenceregion. Specifically, a point in the categorisation map being assignedas a “behind” sub-category may optionally translate to a blending factorvalue of 1 in the corresponding position in the alpha matte. Similarlyan “in-front” sub-category may translate to a blending factor value of 0as illustrated in FIG. 13. The relationship between the blending factorvalues and the degree to which each image is to contribute to theaugmented reality image will be described later.

Regions of the categorisation map 1300 that are designated asuncertainty regions are not initially assigned an initial alpha mattevalue since there is doubt as to which of the first 500 and second 550images is to be used in the corresponding region of the augmentedreality image 600.

Blending factor values for the uncertainty regions can be generated byone of a number of different methods. In general, determining at leastone blending factor value in the uncertainty region is based upon asimilarity between a colour value in the uncertainty region and at leastone colour value in the confidence region. In this way, it is possibleto use colour values in known regions of the images to infer in whichregion a particular portion of the image should be categorised basedupon the degree of colour similarity.

Two specific approaches for determining the blending factor values inuncertainty regions are set out below. Both methods make use of colourinformation outside of the uncertainty region (i.e. in a confidenceregion) in order to determine the degree to which portions of theuncertainty regions are similar to portions of the confidence regions.

Cross Bilateral Filter

One approach to performing step 940 is to use of a cross bilateralfilter (CBF) to determine blending factor values (i.e. alpha mattevalues) for uncertainty regions.

A cross bilateral filter is similar to a bilateral filter, but differsin that the source of the weights in the filter (known as the jointdata) differ from those to which the filter is applied. In the approachdescribed herein, the colour values of one of the two images (i.e. thefirst or the second image) are used to determine blending factor valuesin the uncertainty region. More specifically, in the present example,the colour values of the first image of the real scene are used whenapplying the CBF to the uncertainty region, as will be described in moredetail below. In other examples, the CBF may be applied in theuncertainty region based on colours of a second (or third) image, forexample the second image of the virtual object as described herein.

A cross bilateral filter is defined generally as follows:

${{BF}\lbrack I\rbrack}_{P} = {\frac{1}{W_{P}}{\sum\limits_{q \in S}{{G_{\sigma_{S}}\left( {{p - q}} \right)}{G_{\sigma_{r}}\left( {{{I(p)} - {I(q)}}} \right)}I_{q}}}}$

Where W_(P) is a normalisation factor that normalises the resultantvalue for pixel p between 0 and 1, I is the original input image to befiltered (which in this case is the colour values from the first image),and subscript p is the coordinate of the current pixel to be filtered.For each pixel p to be filtered, the cross bilateral filter determines aweighted average of pixels in a set S of pixels based upon two Gaussianfunctions, G_(σ) _(s) and G_(σ) _(r) . G_(σ) _(s) weights each pixel qaccording to the distance of the pixel q from the pixel in question pbased upon a Gaussian distribution. Similarly, G_(σ) _(r) weights thesame pixel q according to the difference in a particular value betweenthe pixel q and the pixel in question p.

The use of the cross bilateral filter is configured in the presentexample filter in that G_(σ) _(r) is applied based upon differences incolour values between the pixel in question of the first image and othercolour values captured by the capture device 200 that fall within theconfidence region.

The set S is determined based upon a filter kernel 1200, which forms aregion around the pixel in question, p, and calculates a sum of allpixel values within the pixel kernel 1200. The pixel kernel may includeall pixels within a predetermined distance of the pixel in question, ormay be formed as a box of fixed size. For example, the pixel kernel maybe a 3×3 pixel kernel with the pixel in question, p, positioned at thecentre.

The cross bilateral filter used in the present arrangement makes adetermination as to which pixels in the set S are located withinuncertainty regions and which pixels in the set S are located withinconfidence regions. This may be determined based upon the values in thecategorisation map. In the present approach, pixels in the set S thatare located within uncertainty regions are provided with a zero weightand are thus disregarded. As such, uncertainty regions do not contributeto the blending factor value produced for a pixel in question, p. Inthis way, the determination of a blending factor value at a pixel doesnot take into consideration other pixels at which there is doubt as tothe reliability of the depth values.

According to an example, a cross bilateral filter can be implementedwith the use of a 3×3 pixel kernel 1200. The pixel kernel 1200 may beconfigured to use a colour value of each pixel that neighbours a pixelin question, p, within the kernel. As such, a 3×3 pixel kernel 1200 maytypically involve the calculation of 8 different values for a particularpixel p, which may then be normalised between a value of 0 and 1. Thisprocess is repeated for each pixel until all of the pixels of theaugmented reality image has been processed. However, in the presentapproach it may be that, for each processed pixel, fewer pixels areconsidered since some of those pixels may fall within an uncertaintyregion and are thus ignored.

An example filter kernel 1200 is illustrated in relation to FIG. 12 inwhich a pixel in question, p, is shown in the centre of a 3×3 pixelfilter kernel 1200. The predetermined distance for this kernel can thenbe regarded as 1. In this arrangement, the colour values of the eightpixels that neighbour the pixel in question, p are considered. Asillustrated in FIG. 12, two of the neighbouring pixels q₁ (1210) and q₄(1240) are identified as being located in an uncertainty region based onthe categorisation at the respective locations of each pixel. As such,the application of the cross bilateral filter does not take intoconsideration pixels q₁ and q₄. Instead, the cross bilateral filter isapplied on the basis of the colour values at pixels q₂, q₃, q₅s, q₆, q₇,and q₈ and the normalisation factor

$\frac{1}{W_{P}}$will be adjusted to a value based on the fact that only six pixels aretaken into consideration. In general, the normalisation factor

$\frac{1}{W_{P}}$will be adjusted to account for the number of pixels that are taken intoconsideration.

Set out below are the two Gaussian functions, G_(σ) _(r) and G_(σ) _(s)which are used in the present example to apply the cross bilateralfilter to generate the blending factor values.

G_(σ) _(r) provides a weighting factor relating to the similarity incolour between a pixel of interest p in the first image 500 and anotherpixel q, where the pixel q is a pixel in the range of the kernel in thefirst image 500. In this example, the pixel is located in an adjacentpixel since the filter kernel size is 3×3.

$G_{\sigma_{r}}:={\exp\left( \frac{{- 0.5} \cdot {d\left( {p,q} \right)}^{2}}{\sigma_{colour}^{2}} \right)}$where d is a colour distance metric. d provides a metric of thesimilarity in colour between the pixel in question, p, and one of thepixels in the kernel. In this example, the similarity in colour isdetermined based upon the Manhattan distance in RGB space. Specifically,distance d is defined by the following equation, where (p_(r), p_(g),p_(b)), (q_(r), q_(g), q_(b)) are the red (r), green (g), and blue (b)components of the colour pixels p and q:d(p,q):=|p _(r) −q _(r) |+|p _(g) −q _(g) |+|p _(b) −q _(b)|

Advantageously, the Manhattan distance is particularly useful fordetermining the degree of colour similarity in the present approachsince it has produced low mean square error (MSE) relative to groundtruth mattes in testing and is efficient to evaluate.

Another Gaussian function G_(σ) _(s) used in the cross bilateral filteris described below. For pixel in question p, the function provides aweighting factor based upon the distance between the pixel in question pand a pixel q located within the pixel kernel. The distance weightingG_(σ) _(s) is given by the following equation:

$G_{\sigma_{s}}:={\exp\left( \frac{{- 0.5} \cdot \left( {\left( {p_{x} - q_{x}} \right)^{2} + \left( {p_{y} - q_{y}} \right)^{2}} \right)}{\sigma_{space}^{2}} \right)}$

Where p_(x), q_(x), p_(y), and q_(y) are the x and y coordinates ofpixels p and q within the image. The distance may be a count of thenumber of pixels between the pixels based on a pixel coordinate system.

Therefore, for each pixel p in the uncertainty region, a blending factorvalue is provided by the cross bilateral filter based upon correspondingcolour values in confidence regions within the filter kernel. Thenormalisation factor ensures that the generated value lies between 0 and1.

In other arrangements, additional or alternative colour values could beused to generate the blending factor values. Different colour values inthe confidence region in the first image may be utilised to performfiltering. For example, a larger filter kernel or a sparse samplingscheme that selects pixels that are not adjacent to the pixel inquestion may be used to perform filtering based upon a larger area ofcolour values in the first image of the real scene. As such, thefiltering is performed in a less localised manner which would reduce theimpact of any local colour defects in the first image on the generatedaugmented reality image. Additionally or alternatively, colour valuesfrom a third image of the same real scene may be used.

The blending factor values generated by the cross bilateral filter inthe uncertainty region may then be combined with the initial blendingfactor values generated for the confidence region that are illustratedin FIG. 13. The combined blending factor values of the confidence anduncertainty regions may form a complete alpha matte which covers thescene so that, for each pixel of the first 500 and second 550 image, acorresponding blending factor value (i.e. alpha matte value) isdetermined. As such it is possible to combine the first 500 and second550 images based on the complete alpha matte.

An example of an alpha matte 1200 formed solely of values generatedwithin confidence regions is illustrated in FIG. 13 based upon thecategory map 1100 of FIG. 11. As can be seen, blending factor values inthe alpha matte 1300 correspond with the sub-categorisation of theconfidence regions in the categorisation map 1100. For example, aninitial blending factor value (i.e. alpha matte value) of 0 correspondswith confidence regions in which the portions of the second image 550 ofthe virtual object are to be displayed in front of the correspondingportions of the first image 500.

As can be seen from FIG. 13, portions of the alpha matte 1300, indicatedby ‘x’ in region 1310 have not been allocated an initial blending factorvalue since these regions of the alpha matte correspond in position withuncertainty regions. It is then each of these portions of the alphamatte that are processed, where each pixel is regarded as p in theabove-described equations.

Blending factor values (i.e. alpha matte values) may be determined foruncertainty regions. An updated complete alpha matte 1400 is illustratedin FIG. 14 in which additional blending factor values have been added(for example using the cross bilateral value) in the uncertainty regionto generate a complete alpha matte 1400.

The generated complete alpha matte 1400 can be used to combine the firstimage 500 and the second image 550 to generate an augmented realityimage 600. This will be described in more detail later.

Iterative Method

An alternative approach to determining blending factor (i.e. alphamatte) values for the uncertainty region is set out below and will bereferred to as the “iterative method”. The iterative method differs fromthe cross bilateral filter in that the cross bilateral filter can beconsidered to be a localised approach to generating blending factorvalues in the uncertainty regions whilst the iterative method can beconsidered to be a large-scale approach.

In this alternative approach, steps 910, 920, and 930 of FIG. 9 areperformed in the same manner as for the cross bilateral filter approachset out above so as to generate a partially completed alpha matte, suchas the partially completed alpha matte illustrated in FIG. 13.

Specifically, both the iterative method and the cross bilateral filterreceive a partially completed initial alpha matte in which alpha mattevalues are determined for confidence regions. The iterative methoddescribed herein provides an alternative approach for determining theblending factor values for uncertainty regions.

In the iterative method described herein, blending factor values for anuncertainty region are determined by minimising the sum of squares oftwo error metrics for each element in the uncertainty region. The twoerror metrics used in the following example, are designed to encouragethe formation of a visually pleasing alpha matte, with a low error.

For a partially completed alpha matte M, such as the alpha matteillustrated in FIG. 13, initial estimated values for the alpha mattevalues that fall within a uncertainty region (such as region 1310) aredetermined.

These estimated values may simply be set to 0.5 which is a balancedinitial value that is to be refined during execution of the iterativemethod. An example of such an initial alpha matte used in the executionof the iterative method is illustrated in region 1510 of FIG. 15.

In other arrangements, initial values for the alpha matte values in anuncertainty region may be determined using more sophisticatedapproaches, for example based on an initial desired blend across anuncertainty region, for example where the uncertainty region forms aboundary between confidence sub-category regions.

Since the method described herein is iterative, a better initial valuemay reduce the number of iterations of the method required to reach apredefined acceptable error level. For the purposes of describing theoperation of this method, the alpha matte values for regions of thealpha matte that fall within uncertainty regions are initially assigneda value of 0.5. The iterative method is performed only on the alphamatte values which have an initially assigned value (e.g. alpha mattevalues in the uncertainty region).

In the following example, a blending factor value is generated for eachpoint in the categorisation map categorised as in being in anuncertainty region based upon the minimisation of a gradient metric anda colour metric.

The gradient metric is designed to encourage an alpha matte whichcontains large flat regions with low image gradients, whilst allowing asmall proportion of pixels to have high gradients, so as to defineboundaries between 0 and 1 alpha matte values within the alpha matte.The gradient metric is selected in this way to reflect the properties ofmattes in the typical situation where an image of a virtual object isconsidered with respect to an image of an opaque real object. Forexample, there may be large flat regions of the matte with zerogradient, and a smaller number of pixels along edges with a very highimage gradient. Other shapes for the gradient metric may be selectedbased upon the content of the images to be used to generate theaugmented reality image 600.

The gradient metric ε_(gradient) at a pixel p in matte M is illustratedin the equation below:ε_(gradient)(M,p):=1+ln(e ⁻¹ +G(M,p))where G(M,p) is a gradient value defined by the below equation. Thegradient value is an estimate of the sum of squared partial derivatives,where N₄(p) is the 4-neighbourhood of position p in each of the fourcardinal directions.

${G\left( {M,p} \right)}:={\sum\limits_{q \in {N_{4}{(p)}}}\left( {{M(p)} - {M(q)}} \right)^{2}}$

An example of the 4-neighbourhood at p is illustrated in FIG. 16 inwhich the alpha matte value in each cardinal direction is compared withthe matte value at position p illustrated at reference numeral 1610.Accordingly, four comparisons are made and the squared differences aresummed to generate a value for G(M,p) at p. In the example of FIG. 16,the G(M,p) value would be 1 where the initial matte value at p is 0.5.

As set out above, the gradient metric ε_(gradient)(M,p) is based on thefunction y=1+ln(e⁻¹+x). A plot of the gradient metric as a function ofthe gradient value is illustrated in FIG. 18. As can be seen, thegradient metric seeks to suppress (with respect to an error functiony=x) gradient values in the middle of the range of gradient values. Putanother way, low gradients and high gradients, such as the values forgradients at 0 or 4, are emphasized.

A second metric used in the iterative method is a colour metric designedto make use of colour information, by comparing the colour similarity ofpixels in the uncertainty region with pixels that have been categorisedin the “in-front” category, i.e. pixels in the foreground) and pixelsthat have been categorised in the “behind” category (i.e. pixels in thebackground of an image).

An example approach to defining the colour metric is to define twoMixture of Gaussians (MoG) models that are each fitted to colour samplestaken from one of the foreground “in-front” and background “behind”colour values in the confidence region, based on the sub-categorisationof the confidence regions into “in-front” and “behind” regions. MoGmodels are particularly useful in the present implementation due totheir multimodal nature, which allows them to handle cases where objectsin a scene are surrounded by multiple objects of different colours, orobjects with multiple different colours (e.g. due to varying objectalbedo or non-uniform lighting). Additionally, MoG models provideadditional robustness to noise in the colour samples, as compared tofinding nearest neighbours in the sample set.

For an image, the colour samples for the MoG models are selected fromthe sub-categorisations of the confidence regions near the uncertaintyregion. In order to select the colour samples, a dilation process isapplied to the uncertainty region and the result of the dilation isintersected with the sub-categorised confidence pixels using anExpectation Maximisation (EM) algorithm. The EM algorithm processobtains regions from the respective “in-front” and “behind” categorisedpixels within a small band of the uncertainty region.

The in-front and behind regions may be represented as one or more binaryimages, in which sample points inside the region are represented as a‘1’, and sample points inside the regions are represented by a ‘0’. Theuncertainty region is then dilated, to increase the size of theuncertainty region by a few pixels. Then, in an example implementation,a pixel-wise binary AND is applied to the dilated uncertainty region andthe “in-front” and “behind” regions (e.g. the “in-front” and “behind”images) to find the area of overlap. In practice the area of overlapwill be the separate “in-front” and “behind” regions within apredetermined distance of the uncertainty region, as defined by dilationkernel which is used to define the degree to which the uncertaintyregion is dilated. By following this approach, two additional regionsare defined in which the dilated uncertainty region overlaps respective“in-front” and “behind” regions. Since the determination of the two newregions takes into consideration only “in-front” and “behind” regions,“off object” regions and uncertainty regions are not taken intoconsideration.

Having performed the above step, two MoG models are generated, each ofwhich consists of scalar weights and parameters (mean, variance) for N3-dimensional Gaussian functions (where N is the number of components inthe mixture). These models provide a concise summary of the distributionof the foreground and background colour samples in the confidence regionbased upon the sub-categorisation of the alpha matte. For example, thenumber of Gaussians per model N may be set to 5. However, the number ofGaussians used in the model may vary and will be selected based upon atrade-off between performance and quality.

Once the MoG models have been fitted to the foreground and thebackground, the colour metric ε_(colour) is defined using the followingequation:

${ɛ_{colour}\left( {M,C,p} \right)}:={{{M(p)} - \frac{P_{behind}\left( {C(p)} \right)}{{P_{behind}\left( {C(p)} \right)} + {P_{infront}\left( {C(p)} \right)}}}}$

Wherein P_(behind) and P_(infront) are the respective probabilities thatthe colour sample at pixel p under the MoG models is fitted to the“behind” and “in-front” pixel categories. These probabilities aredefined as the probability of the sample under the most likely Gaussianin each mixture. The colour error metric therefore encourages anappropriate local value for each pixel, whereas the gradient metricencourages an appropriate global structure for the matte. The MoG modelsare respectively fitted to the colours from the first image (e.g. thecolours of the real scene) in the “in-front” region and the “behind”region and background colours respectively and are fitted to coloursfrom the first image (e.g. the real image). The MoG models are fitted tomaximise the probability of the observed foreground/background coloursamples using the Expectation-Maximisation algorithm.

As will be appreciated, it is possible to use ‘0’ and ‘1’ values torepresent different categorisations (e.g. a ‘1’ can represent an“in-front” or a “behind” region, provided a different value representsthe other region). For example, if different values were used in thecategory map to represent the in front and behind regions, it may benecessary to swap the P_(behind)(C(p)) and P_(infront)(C(p))probabilities in the above equation.

Having generated the colour error metric and the gradient error metric,the two metrics are minimised using an approach for minimising twoerrors metrics for each point in the uncertainty region of the alphamatte. One approach is to use the Levenberg-Marquardt algorithm tominimise the two error metrics for each point in the uncertainty regionand thereby produce alpha matte values for the uncertainty region.

The Levenberg-Marquardt algorithm (LMA) operates upon a parameter spaceΩ⊆

^(n). In the present example, the parameter space is the space ofpossible alpha mattes. That is, each element of Ω is a vector x=(p₁, . .. , p_(n)), where each p_(i) is a pixel value from the uncertaintyregion of the alpha matte, such that Ω=[0,1]^(n), wherein n is thenumber of pixels in the uncertainty region. In the LMA, the aim is tominimise the sum of squares of errors. As defined above, the iterativeapproach defined herein makes use of error functions r_(j): Ω→

, for j∈1, . . . , m. The error functions are defined as the gradienterror metric and the colour error metric (as described above), eachapplied at each pixel in the uncertainty region.

The LMA is therefore configured to minimise the sum of squares of eachof the error functions, using the following equation:

${f(x)}:={\frac{1}{2}{\sum\limits_{j = 1}^{m}{r_{j}(x)}^{2}}}$

As described above, the values of the alpha matte in the uncertaintyregion are initialised to a value defined as the initial estimate of x,termed herein as x₀. At each step of the iteration of the LMA, a smallstep delta is taken, i.e. x₁₊₁:=x_(i)−δ_(i) so that f(x_(i+1))<f(x_(i)),using gradient information.

Let r: Ω→

^(m) be a residual vector, defined by r(x):=(r₁(x), . . . , r_(m)(x))that can be differentiated with respect to x to obtain a Jacobian matrix

$J:={\left\lbrack \frac{\partial r_{j}}{\partial p_{i}} \right\rbrack.}$since the two errors metrics used in the present example aredifferentiable, J can be found analytically. The updates can be computedas follows:δ_(i):=(J ^(T) J+λdiag(J ^(T) J))⁻¹ J ^(T) f(x _(i))

The above equation is a form of combination of a first order and secondorder approximation to f, and the value λ∈

controls the weighting of the two approximations. In order to performthe above computation, a matrix inverse needs to be performed as shownabove. Whilst this matrix can be large, the matrix is also sparse andsymmetric, which means that δ can be efficiently found using a sparseCholesky solver.

In order to perform the LMA, the following steps are performed in orderto minimise the two error metrics:

-   -   1. Calculate the Jacobian matrix J of the error metrics        analytically, in terms of x.    -   2. At each step:        -   a. Evaluate the Jacobian matrix J at the current estimate            x_(i);        -   b. Solve the system            (J^(T)J+λdiag(J^(T)J))δ_(i)=J^(T)f(x_(i)) for δ_(i), using a            sparse Cholesky solver;        -   c. Find the new estimate x_(i+1):=x_(i)−δ_(i);        -   d. Evaluate the error f(x_(i+1)); and            -   i. If the error is sufficiently small, or too many                iterations have occurred, halt the LMA;            -   ii. If not, determine whether to accept the estimated                value for x; and            -   iii. Decide whether to change the value of λ.

The iterative method is particularly suited to applications in which thegeneration of an augmented reality image is to be performed in realtime, for example where a plurality of augmented reality images are tobe generated sequentially to form a video sequence. The iterative methodmay be performed a number of times to reduce the mean squared error(MSE) in the resultant alpha matte. In time-critical applications suchas the generation of a video sequence, it is possible to allocate adefined period of time to the generation of the blending factor valuesin the uncertainty region using the iterative method. Accordingly, theiterative method will be performed as many times as possible with theallocated time period. In this way, it is certain that the iterativemethod will generate blending factor values in the required time and theerror may be minimised within the required time. For example, it ispossible to maintain a constant frame rate in an augmented reality videosequence of augmented reality images.

FIG. 19 illustrates a plot of MSE error (with respect to a ground truth)as a function of the number of iterations of the method performed. Ascan be seen, in the example implementation tested in FIG. 19, the MSE isreduced very quickly from approximately 0.675 to 0.5 in less than 5iterations. Accordingly, the MSE can be reduced within a low number ofiterations.

Once the iterative method or the cross bilateral filter approach hasbeen applied, a complete alpha matte is generated for the entire imagespace, as illustrated in FIG. 14. It is therefore possible to compositethe first image 500 and the second image 550 to form an augmentedreality image 600, as will be explained in more detail below.

Further Example

A further example implementation is illustrated with respect to FIGS.17(a) to 17(d) below. FIG. 17(a) illustrates an arrangement in which areal object 102 and a virtual object are present in a scene 1700.Capture device 200 is also positioned according to plane X-Y₁₇ aspreviously described with respect to plane X-Y₄ of FIG. 4. FIG. 17(b)illustrates line Y-Y₁₇ in a similar manner as line Y-Y₄ in respect ofFIG. 4.

FIG. 17(c) illustrates the real depth values based on the real object102, the virtual depth values based on the virtual object 103, and depthmap generated based upon the real and virtual depth values. As can beseen from FIG. 17(c), the real depth values are at d_(max) where thereal object is not located and take the value d_(obj1) when where thereal object 102 is located. Similarly, the virtual depth values take thevalue of d_(max) where the virtual object is not located. However, wherethe virtual object is located, the depth of the virtual object is used.As can be seen in the example of FIG. 17, the virtual object is notoriented in parallel with the viewpoint at the capture device and thusdoes not have a constant depth value. The depth value therefore variesalong dimension y. Accordingly, there is an intersection point where thereal and virtual objects intersect one another in dimension z and therendered object changes.

FIG. 17(d) illustrates two rows of data along dimension y from left toright with reference to the depth value graphs of FIG. 17(c). The toprow 1720 illustrates example values in a categorisation map alongdimension y based on the depth values of FIG. 17(c). The bottom row 1740illustrates example values in an alpha matte based upon thecategorisation values in row 1720.

As can be seen from FIG. 17(d), from left to right, the categorisationvalues begin with a region of “-” values which indicate that the regionof the augmented reality image can be categorised as an “off object”region since the virtual object 103 is not present in this region. Thecorresponding alpha matte values are therefore “1” so that the colourvalues of the real scene, rather than the virtual object 103, are usedwhen rendering the augmented reality image. The next values in row 1720from left to right are categorised as “1” which are “in-front” valuesthat correspond to the confidence region of the scene where the realobject 102 has a shallower depth (i.e. is closer) than the virtualobject 103. The corresponding alpha matte values are therefore also “1”and the real object is rendered in the corresponding region of theaugmented reality image. Following the region of “1” values in row 1720,a region of “2” values are present, which indicate a “behind” categoryof the confidence region. In this region, the virtual object 103 isrendered in the augmented image using alpha matte values of “0”.Following the “2” values in row 1720 are a number of “3” valuesindicating that this region corresponds with an uncertainty region. Theuncertainty region corresponds with the portion of the scene where thevirtual object 103 and the real object 102 have similar depth values.This uncertainty region is illustrated in each of FIGS. 17(a) to (d)with reference numeral 1750. It will be appreciated that the width ofthe uncertainty region depends upon the value of the predeterminedthreshold. The corresponding alpha matte values in row 1740 are denoted“x” since these values will need to be determined using one of theabove-described methods.

Following the uncertainty region 1750 in row 1720, are a series ofvalues “1”, “2”, and then “-” in the categorisation map. These remainingcategorisation values and their corresponding alpha matte values aredetermined in a similar manner as described above. As can be seen fromFIG. 17, there are a total of four boundaries between the regions whichare rendered according to the colour values of the first object 102 andthe colour values of the second object 103. In the example of FIG. 17,only a single uncertainty region has been identified. This is because,in this example, the difference in depth values for the two objects atthese boundaries has been determined to be greater than thepredetermined threshold. If the predetermined threshold were set larger,the categorisation map along line Y-Y₁₇ may include larger uncertaintyregions as well as additional uncertainty regions.

Compositing

By generating the blending factor values (i.e. alpha matte values) forthe uncertainty regions, for example by using the cross bilateral filteror the iterative method as described above, a complete alpha matte 1400is generated as illustrated in FIG. 14. The complete alpha matte 1400can be used to generate an augmented reality image at step 950 of themethod illustrated in FIG. 9.

An approach for generating the augmented reality image 600 is to applythe following equation based upon the colour values of the first image500 and the second image 550.c _(∝) :=∝c ₁·(1−∝)c ₂

For a particular point in the alpha matte, a corresponding pixel of eachof the first image 500 and the second image 550 is considered. The alphamatte value ∝ at that corresponding point determines the colour valuec_(∝) in the corresponding pixel of the augmented reality image 600. Asshown in the above equation, the colour value c_(∝) at a particularpixel in the augmented reality image 600 is a colour combination ofcolour value c₂ of the second image 550 at that pixel and the colourvalue c₁ of the first image 500 at that pixel. In some arrangements, thealpha matte values of 0 and 1 may be switched, for example where thealpha matte values assigned to “in-front” and “behind” pixels areswitched. In this arrangement, the values used for c₁ and c₂ maytherefore also be switched.

In the present example, and as shown in FIG. 14, the blending factorvalues of the alpha matte are defined between a range of 1 and 0 but maytake on non-integer values within this range. The blending factor valueslocated in confidence regions have a value of ‘0’ or ‘1’ and thusrepresent regions of the augmented reality image 600 in which either thecorresponding colour value of the first 500 or the second 550 image iswholly used to define the colour value in an associated location of theaugmented reality image 600. Put another way, there is no partialblending of the first 500 and the second 550 image in the confidenceregions.

Specifically, where the alpha matte value in a confidence region is ‘1’,the above equation provides that the colour at a corresponding pixel ofthe augmented reality image will be based solely on the colour of thefirst image of the real scene. Conversely, where the alpha matte valuein a confidence region is ‘0’, the above equation provides that thecolour at a corresponding pixel of the augmented reality image 600 willbe based solely on the colour of the second image of the virtual object.

In the confidence regions a confident determination can be made and thusthe alpha matte value is ‘1’ or ‘0’. It is preferable to determine inuncertainty regions a value of ‘1’ or ‘0’ for the alpha matte. As such,the alpha matte value determined by applying, for example, the crossbilateral filter or the iterative method as described above, may also be0 or 1. If such values are determined in uncertainty regions, the colourof the augmented reality image at a corresponding pixel will also bebased solely on either the colour value of the first image or the colourvalue of the second image. In the event that all uncertainty regions aregiven 0 or 1 values, the boundary in the augmented reality image betweenthe sub-categories of the confidence region will be well-defined andthus the occlusion in an augmented reality image will be clearlydefined. In practice, as illustrated in FIG. 13, the alpha matte valuesmay not always take the value ‘0’ or ‘1’ in the uncertainty region butinstead may have a value in between ‘0’ and ‘1’. In this case, theresultant colour value that is used in the augmented reality image is ablend of the colour value of the first image and the correspondingcolour value of the second image. The alpha matte value will determinethe degree to which the colour value of the first and second imagescontribute to the corresponding colour value in the augmented realityimage.

Accordingly, where it is not possible to form a confident boundarybetween objects in an augmented reality image, it is possible to controlthe transition in colour at the boundary between the first and secondimages so that fewer artefacts from the occlusion are visible. Byperforming a blend of the colour values of the first image and thesecond image in this way, it is possible to lessen the impact ofartefacts in a manner that is visually pleasing. Moreover, theapproaches described herein allow occlusion on a per-pixel basis andalso the control of the transition in colour between first and secondimages when performing occlusion to be performed on a per-pixel basis.

Performance Comparison

A performance comparison of the iterative method and the cross bilateralfilter is illustrated with respect to FIG. 20. In this arrangement, aplurality of frames of a video sequence of a real scene is processed andan augmented reality image has been generated for each frame of thevideo sequence in which a virtual object has been placed into the realscene and occluded as described above.

The performance of the cross bilateral filter and the iterative methodis compared to a simple approach in which it is assumed that determinedreal depths are accurate and the depth values of the first and secondimages are simply compared to determine the alpha matte used incombining the images. Put another way, in the simple approach, it isassumed that the entire image is a confidence region and is thusprocessed accordingly. In the simple approach, any pixels without validdepth values are assumed to lie behind the virtual object. As can beseen from FIG. 20, the bilateral and iterative methods provide reducedMSE when compared with a simple approach.

The present approaches determine blending factor values which indicatethe degree to which the colour values at corresponding points in twoimages are blended. As discussed previously, blending factor values mayeach indicate the degree of colour blending at a sampling point orwithin a region. As such, the colour values of each image shouldcorrespond with a blending factor value. A plurality of blending factorvalues may therefore be combined to cover an entire image area, witheach blending factor value corresponding to a portion of the image area.In this way, it is possible for a plurality of blending factor values tocombine to be form an alpha matte comprising a plurality of alpha mattevalues. The alpha matte values individually indicate the degree oftransparency of a particular image. However, when applied in the presentarrangement the alpha matte value can be used to indicate the degree towhich each of the first image and the second image are to be combined.

The augmented reality processing system described above can beconsidered to be a standard graphics processing system configured foraugmented reality applications. Alternatively, the augmented realityprocessing system can be considered to be a separate system arranged forthe purposes of augmented reality image generation.

In the examples described herein, the comparison of depth values hasbeen such that a first object having lower depth value at a sample pointthan a second object means the first object is closer to the viewpointfrom which the augmented reality image is to be generated. However, inother arrangements, a first object having lower depth value at a samplepoint than a second object means the first object is further away fromthe viewpoint from which the augmented reality image is to be generated.For such arrangements, the calculations used to perform categorisationwould be reversed as would be understood by the person skilled in theart.

The examples defined herein generate an augmented reality image, whichcombines first and second images. At least a portion of either or bothof the first and second image includes an image of a real scene. Otherportions may include imagery of a virtual scene and/or a virtual object.In the example illustrated herein, the first image is an image of a realscene with no virtual object and the second image is a wholly virtualimage of a virtual object. In other implementations, the first and/orthe second image may comprise wholly or partially virtual components. Itwill be appreciated that errors arise where at least a portion of thetwo images comprises a real captured depth which gives rise to apotential error in the depth measurements.

In an example, an augmented reality video sequence may be generatedusing the above-described approach of generating an augmented realityimage. Specifically, each frame of the augmented reality video may begenerated using the method of FIG. 9, where the resultant augmentedreality image forms a frame of a video sequence. The first image of thereal scene used in the above-described method may therefore be a frameof a video sequence captured of real scene. As such, the resultantaugmented reality video sequence may be a video sequence of a real scenein which a virtual object has been inserted.

FIG. 21 illustrates an augmented reality processing system 2100comprising a number of modules configured to perform functions accordingto the methods described herein. The augmented reality processing system2100 comprises a confidence identification module 2110 configured toreceive a first image 500 and a second image 550. The confidenceidentification module 2110 is configured to identify a confidence regionin accordance with the step 920 of the method of FIG. 9. Similarly, theuncertainty identification module 2120 is configured to identify anuncertainty region, for example by performing the step 930 of FIG. 9.Blend module 2130 is configured to determine at least one blendingfactor value, for example by performing the step 940 of Figure. Imagegeneration module 2140 is configured to generate an augmented realityimage 600, for example by combining first 500 and second 550 images inaccordance with step 950 of FIG. 9.

The confidence identification module 2110 and the uncertaintyidentification module 2120 need not be implemented in a parallel manneras is set out in FIG. 21. Instead, the confidence identification module2110 and the uncertainty identification module 2120 may be implementedin series or in a single module in which the uncertainty and confidenceregions are identified as part of the operation of a single module orlogical unit.

FIG. 22 shows a computer system in which the augmented realityprocessing systems described herein may be implemented. The computersystem comprises a CPU 2202, a GPU 2204, a memory 2206 and other devices2214, such as a display 2216, speakers 2218 and a camera 2215. Aprocessing block 2210 (corresponding to at least one module of augmentedreality processing system 2100) is implemented on the GPU 2204. In otherexamples, the processing block 2210 may be implemented on the CPU 2202.The components of the computer system can communicate with each othervia a communications bus 2220.

The augmented reality processing system 2100 of FIG. 21 is shown ascomprising a number of functional blocks. This is schematic only and isnot intended to define a strict division between different logicelements of such entities. Each functional block may be provided in anysuitable manner. It is to be understood that intermediate valuesdescribed herein as being formed by an augmented reality processingsystem need not be physically generated by the augmented realityprocessing system at any point and may merely represent logical valueswhich conveniently describe the processing performed by the augmentedreality processing system between its input and output.

The augmented reality processing systems described herein may beembodied in hardware on an integrated circuit. Generally, any of thefunctions, methods, techniques or components described above can beimplemented in software, firmware, hardware (e.g., fixed logiccircuitry), or any combination thereof. The terms “module,”“functionality,” “component”, “element”, “unit”, “block” and “logic” maybe used herein to generally represent software, firmware, hardware, orany combination thereof. In the case of a software implementation, themodule, functionality, component, element, unit, block or logicrepresents program code that performs the specified tasks when executedon a processor. The algorithms and methods described herein could beperformed by one or more processors executing code that causes theprocessor(s) to perform the algorithms/methods. Examples of acomputer-readable storage medium include a random-access memory (RAM),read-only memory (ROM), an optical disc, flash memory, hard disk memory,and other memory devices that may use magnetic, optical, and othertechniques to store instructions or other data and that can be accessedby a machine.

The terms computer program code and computer readable instructions asused herein refer to any kind of executable code for processors,including code expressed in a machine language, an interpreted languageor a scripting language. Executable code includes binary code, machinecode, bytecode, code defining an integrated circuit (such as a hardwaredescription language or netlist), and code expressed in a programminglanguage code such as C, Java or OpenCL. Executable code may be, forexample, any kind of software, firmware, script, module or librarywhich, when suitably executed, processed, interpreted, compiled,executed at a virtual machine or other software environment, cause aprocessor of the computer system at which the executable code issupported to perform the tasks specified by the code.

A processor, computer, or computer system may be any kind of device,machine or dedicated circuit, or collection or portion thereof, withprocessing capability such that it can execute instructions. A processormay be any kind of general purpose or dedicated processor, such as aCPU, GPU, System-on-chip, state machine, media processor, anapplication-specific integrated circuit (ASIC), a programmable logicarray, a field-programmable gate array (FPGA), or the like. A computeror computer system may comprise one or more processors.

It is also intended to encompass software which defines a configurationof hardware as described herein, such as HDL (hardware descriptionlanguage) software, as is used for designing integrated circuits, or forconfiguring programmable chips, to carry out desired functions. That is,there may be provided a computer readable storage medium having encodedthereon computer readable program code in the form of an integratedcircuit definition dataset that when processed in an integrated circuitmanufacturing system configures the system to manufacture an augmentedreality processing system configured to perform any of the methodsdescribed herein, or to manufacture an augmented reality processingsystem comprising any apparatus described herein. An integrated circuitdefinition dataset may be, for example, an integrated circuitdescription.

An integrated circuit definition dataset may be in the form of computercode, for example as a netlist, code for configuring a programmablechip, as a hardware description language defining an integrated circuitat any level, including as register transfer level (RTL) code, ashigh-level circuit representations such as Verilog or VHDL, and aslow-level circuit representations such as OASIS (RTM) and GDSII. Higherlevel representations which logically define an integrated circuit (suchas RTL) may be processed at a computer system configured for generatinga manufacturing definition of an integrated circuit in the context of asoftware environment comprising definitions of circuit elements andrules for combining those elements in order to generate themanufacturing definition of an integrated circuit so defined by therepresentation. As is typically the case with software executing at acomputer system so as to define a machine, one or more intermediate usersteps (e.g. providing commands, variables etc.) may be required in orderfor a computer system configured for generating a manufacturingdefinition of an integrated circuit to execute code defining anintegrated circuit so as to generate the manufacturing definition ofthat integrated circuit.

An example of processing an integrated circuit definition dataset at anintegrated circuit manufacturing system so as to configure the system tomanufacture an augmented reality processing system will now be describedwith respect to FIG. 23.

FIG. 23 shows an example of an integrated circuit (IC) manufacturingsystem 2302 which comprises a layout processing system 2304 and anintegrated circuit generation system 2306. The IC manufacturing system2302 is configured to receive an IC definition dataset (e.g. defining anaugmented reality processing system as described in any of the examplesherein), process the IC definition dataset, and generate an IC accordingto the IC definition dataset (e.g. which embodies an augmented realityprocessing system as described in any of the examples herein). Theprocessing of the IC definition dataset configures the IC manufacturingsystem 2302 to manufacture an integrated circuit embodying an augmentedreality processing system as described in any of the examples herein.

The layout processing system 2304 is configured to receive and processthe IC definition dataset to determine a circuit layout. Methods ofdetermining a circuit layout from an IC definition dataset are known inthe art, and for example may involve synthesising RTL code to determinea gate level representation of a circuit to be generated, e.g. in termsof logical components (e.g. NAND, NOR, AND, OR, MUX and FLIP-FLOPcomponents). A circuit layout can be determined from the gate levelrepresentation of the circuit by determining positional information forthe logical components. This may be done automatically or with userinvolvement in order to optimise the circuit layout. When the layoutprocessing system 2304 has determined the circuit layout it may output acircuit layout definition to the IC generation system 2306. A circuitlayout definition may be, for example, a circuit layout description.

The IC generation system 2306 generates an IC according to the circuitlayout definition, as is known in the art. For example, the ICgeneration system 2306 may implement a semiconductor device fabricationprocess to generate the IC, which may involve a multiple-step sequenceof photo lithographic and chemical processing steps during whichelectronic circuits are gradually created on a wafer made ofsemiconducting material. The circuit layout definition may be in theform of a mask which can be used in a lithographic process forgenerating an IC according to the circuit definition. Alternatively, thecircuit layout definition provided to the IC generation system 2306 maybe in the form of computer-readable code which the IC generation system2306 can use to form a suitable mask for use in generating an IC.

The different processes performed by the IC manufacturing system 2302may be implemented all in one location, e.g. by one party.Alternatively, the IC manufacturing system 2302 may be a distributedsystem such that some of the processes may be performed at differentlocations, and may be performed by different parties. For example, someof the stages of: (i) synthesising RTL code representing the ICdefinition dataset to form a gate level representation of a circuit tobe generated, (ii) generating a circuit layout based on the gate levelrepresentation, (iii) forming a mask in accordance with the circuitlayout, and (iv) fabricating an integrated circuit using the mask, maybe performed in different locations and/or by different parties.

In other examples, processing of the integrated circuit definitiondataset at an integrated circuit manufacturing system may configure thesystem to manufacture an augmented reality processing system without theIC definition dataset being processed so as to determine a circuitlayout. For instance, an integrated circuit definition dataset maydefine the configuration of a reconfigurable processor, such as an FPGA,and the processing of that dataset may configure an IC manufacturingsystem to generate a reconfigurable processor having that definedconfiguration (e.g. by loading configuration data to the FPGA).

In some embodiments, an integrated circuit manufacturing definitiondataset, when processed in an integrated circuit manufacturing system,may cause an integrated circuit manufacturing system to generate adevice as described herein. For example, the configuration of anintegrated circuit manufacturing system in the manner described abovewith respect to FIG. 23 by an integrated circuit manufacturingdefinition dataset may cause a device as described herein to bemanufactured.

In some examples, an integrated circuit definition dataset could includesoftware which runs on hardware defined at the dataset or in combinationwith hardware defined at the dataset. In the example shown in FIG. 23,the IC generation system may further be configured by an integratedcircuit definition dataset to, on manufacturing an integrated circuit,load firmware onto that integrated circuit in accordance with programcode defined at the integrated circuit definition dataset or otherwiseprovide program code with the integrated circuit for use with theintegrated circuit.

The applicant hereby discloses in isolation each individual featuredescribed herein and any combination of two or more such features, tothe extent that such features or combinations are capable of beingcarried out based on the present specification as a whole in the lightof the common general knowledge of a person skilled in the art,irrespective of whether such features or combinations of features solveany problems disclosed herein. In view of the foregoing description itwill be evident to a person skilled in the art that variousmodifications may be made within the scope of the invention.

What is claimed is:
 1. A method for generating an augmented realityimage from first and second images, wherein at least a portion of atleast one of the first and the second image is captured from a realscene, and wherein at least one of the first and the second imagecomprises an image of a virtual object, the method comprising:determining at least one blending factor value in a first region basedupon a similarity between a first value in the first region and at leastone second value in a second region, wherein in the second region adetermination as to which of the first and second image to render inthat region of the augmented reality image can be made; and generatingan augmented reality image by combining, in the first region of theaugmented reality image, the first and second images using the at leastone blending factor value.
 2. The method of claim 1 wherein the firstregion is an uncertainty region of the augmented reality image, in whichit is uncertain as to which of the first and second image to render inthat region of the augmented reality image.
 3. The method of claim 1wherein the second region is a confidence region in which a confidentdetermination as to which of the first and second image to render inthat region of the augmented reality image can be made.
 4. The method ofclaim 1 wherein the first and second values are colour values.
 5. Themethod of claim 1 further comprising: identifying the first region; andidentifying the second region.
 6. The method according to claim 1,wherein the first image and the second image each have associatedtherewith a plurality of colour values and a corresponding plurality ofdepth values, wherein the method further comprises making saiddetermination as to which of the first image and the second image torender based upon a depth value of the first image and the correspondingdepth value of the second image in the second region.
 7. The methodaccording to claim 5, wherein the first image and the second image eachhave associated therewith a plurality of colour values and acorresponding plurality of depth values, and wherein the first region isidentified based upon at least one depth value associated with at leastone of the first and the second image, the at least one depth valuebeing derived from a depth value captured from a real scene.
 8. Themethod according to claim 1, further comprising generating at least oneinitial blending factor value in a second region based upon saiddetermination and wherein generating the augmented reality image furthercomprises combining a corresponding colour value of the first image anda corresponding colour value of the second image in the second regionusing the at least one initial blending factor value.
 9. The methodaccording to claim 3 further comprising identifying the confidenceregion, wherein identifying the confidence region comprises categorisingportions of the confidence region as first confidence regions or secondconfidence regions, wherein: first confidence regions are confidenceregions in which a colour value of the first image is to be rendered inthe corresponding region of the augmented reality image; and secondconfidence regions are confidence regions in which a colour value of thesecond image is to be rendered in the corresponding region of theaugmented reality image.
 10. The method according to claim 1, whereindetermining the at least one blending factor value is further based uponthe distance between the position of the first value and the position ofthe at least one second value.
 11. The method according to claim 1,wherein the first region comprises a plurality of sample points anddetermining the at least one blending factor value further comprisesprocessing, for each of a plurality of sample points in the firstregion, that sample point based upon values at a plurality of samplepoints located in a second region within a predetermined distance ofthat sample point.
 12. The method according to claim 1, whereindetermining at least one blending factor value in the first region isbased upon a similarity between a colour value in the first region andat least one corresponding colour value of each of the first image andthe second image.
 13. The method according to claim 1, furthercomprising performing an erosion operation on the second region, whereinthe erosion operation is configured to re-categorise at least oneportion of the second region as forming a part of a first region. 14.The method according to claim 1, wherein the first image is a capturedimage of a real scene and the second image is an image of a virtualobject.
 15. An augmented reality processing system for generating anaugmented reality image from first and second images, wherein at least aportion of at least one of the first and the second image is capturedfrom a real scene, and wherein at least one of the first and the secondimage comprises an image of a virtual object, the augmented realityprocessing system comprising: a blend module arranged to determine atleast one blending factor value in a first region based upon asimilarity between a first value in the first region and at least onesecond value in a second region, wherein in the second region adetermination as to which of the first and second image to render inthat region of the augmented reality image can be made; and an imagegeneration module arranged to generate an augmented reality image bycombining, in the first region of the augmented reality image, the firstand second images using the at least one blending factor value.
 16. Theaugmented reality processing system of claim 15 wherein the secondregion is a confidence region in which a confident determination as towhich of the first and second image to render in that region of theaugmented reality image can be made, and wherein the augmented realityprocessing system further comprises a confidence identification modulearranged to identify the confidence region.
 17. The augmented realityprocessing system of claim 15 wherein the first region is an uncertaintyregion in which it is uncertain as to which of the first and secondimage to render in that region of the augmented reality image, andwherein the augmented reality processing system further comprises anuncertainty identification module arranged to identify the uncertaintyregion.
 18. An augmented reality processing system according to claim15, wherein the first image and the second image each have associatedtherewith a plurality of colour values and a corresponding plurality ofdepth values, and wherein the first and second values are colour values.19. The augmented reality processing system according to claim 13,wherein the augmented reality processing system is embodied in hardwareon an integrated circuit.
 20. A non-transitory computer readable storagemedium having stored thereon computer readable instructions that, whenexecuted at a computer system, cause the computer system to generate anaugmented reality image from first and second images by: determining atleast one blending factor value in a first region based upon asimilarity between a first value in the first region and at least onesecond value in a second region, wherein in the second region adetermination as to which of the first and second image to render inthat region of the augmented reality image can be made; and generatingan augmented reality image by combining, in the first region of theaugmented reality image, the first and second images using the at leastone blending factor value, wherein at least a portion of at least one ofthe first and the second image is captured from a real scene, andwherein at least one of the first and the second image comprises animage of a virtual object.